Lucy was born on 08/05/1999. How many eight digit codes could she make using the digits in her birthday

Answers

Answer 1

Answer:

3,360 different codes.

Step-by-step explanation:

Here we have a set of 8 numbers:

{0, 0, 1, 5, 8, 9, 9, 9}

Now we want to make an 8th digit code with those numbers (each number can be used only once)

Now let's count the number of options for each digit in the code.

For the first digit, we will have 8 options

For the second digit, we will have 7 options (because one was already taken)

For the third digit, we will have 6 options (because two were already taken)

you already can see the pattern here:

For the fourth digit, we will have 5 options

For the fifth digit, we will have 4 options

For the sixth digit, we will have 3 options

For the seventh digit, we will have 2 options

For the eighth digit, we will have 1 option.

The total number of codes will be equal to the product between the numbers of options for each digit, then we have that the total number of codes is:

N = 8*7*6*5*4*3*2*1 = 8!

But wait, you can see that the 9 is repeated 3 times (then we have 3*2*1 = 3! permutations for the nines), and the 0 is repeated two times (then we have 2*1 = 2! permutations for the zeros).

Then we need to divide the number of different codes that we found above by 3! and 2!.

We get that the total number of different codes is:

C = [tex]\frac{8!}{2!*3!} = \frac{8*7*6*5*4}{2} = 8*7*6*5*2 = 3,360[/tex]

3,360 different codes.

Answer 2

The number of eight digit code she can make is, 3360.

If any number have n digits, then number of ways it can be arranged = [tex]n![/tex]

Given that,  Born date is,  08/05/1999

Total number of digits in birth date =  8

So, number of ways it can be arranged = [tex]8![/tex]

Since, In birth date 9 is three times and 0 is two times.

Therefore, number of arrangements = [tex]\frac{8!}{3!*2!}=3360[/tex]

Therefore, she can make 3360 eight digit codes from given birth date.

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Related Questions

What is the surface area of the rectangular prism below
7 7 14

A.496 B.490 C.980 D.248

Answers

Answer:

B

Step-by-step explanation:

Formula

SA = 2*L*W + 2*L*H + 2*H*W

Givens

L = 14

W = 7

H = 7

Solution

SA = 2*14*7 + 2*14*7 + 2*7*7

SA = 196 + 196 + 98

SA = 490

Madeline is saving up to buy a new jacket. She already has $40 and can save an
additional $8 per week using money from her after school job. How much total
money would Madeline have after 10 weeks of saving? Also, write an expression that
represents the amount of money Madeline would have saved in w weeks.

Answers

Answer:

120

equation: 40+8(10)=120

Step-by-step explanation:

The math for this is $40 initial plus $8x the 10 weeks which equals 80 so

40+80=120

A farmer wants to seed and fence a section of land. Fencing costs $27 per yard. Grass seed costs $2 per square foot. How much does it cost to fence and seed the pasture? (No links)

Answers

Answer:

she have 29 seed for the pasture


$448,740

FENCING: $27(255+255+450+450+450)/3 = $16740
GRASS SQUARE: 450^2 * $2= $405000
GRASS TRIANGLE: sqrt(255^2-120^2) = 225, 120/2 * 225 = 60 * 225 = 13500 ft^2, 13500 * 2 = $27000
$16740 + $405000 + $27000 = $448,740

what two number have an absolute value of 12?

Answers

Answer:

The absolute value of 12, is 12...

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

2000 x 0.045 x 7 =
5000 x 0.07 x 20 =
28000 x 0.09 x 1 =
7500 x 0.035 x 2 =
4000 x 0.045 x 2.5 =

Answers

Answer:

639.8

7000

2520

525

450

..........

please help, i will give brainilest.

Answers

Answer:

-36

Step-by-step explanation:

Answer:

i think x = 21

Step-by-step explanation:

(-4,9);m=-1/2
Write the equation in point slope form

Answers

ANSWER: y-9=-1/2(x+4)

Reasoning: Just got to fill in the format
Format is: y-y1=m(x-x1)

simplify leaving your answer in the standard form
[tex] \frac{0.0225 \times 0.0256}{0.0015 \times 0.48} [/tex]

Answers

Answer:

0.8 is the standard form

The animal department wants to estimate the kangaroo population. So they marked 30 kangaroos with paint. These kangaroos were then released into the jungle. After four months 600 kangaroos were caught. Among these Kangaroo, 18 were marked. To the nearest whole number,what is the best estimate for the kangaroo population?

Answers

Answer:

1000

Step-by-step explanation:

From the above question

We have the following parameters

30 were intially Marked

600 were caught and out of it 18 was marked

The formula for the best estimate of the population is calculated as:

Total population = Initial marked kangaroo × Number of caught kangaroo/Number of kangaroo marked after they were caught

= 30 × 600/18

= 1000

Answer:

kangaroos are found in austraillia i don't kno where in austrailla u can find one but they are cute as a pumpkin

Step-by-step explanation:

Plzz help everything is in the screen shot

Answers

Answer:

#1

Yesy = x + 1

#2

Yesy = -2x

#3

No

#4

No

What is the value of x?
5(x+2)=11

Answers

Answer:

X=1.8

Step-by-step explanation:

Step one: 5 times 1.8 equals 9.

Step two: 9+2=11

5(x+2)=11
5x+10=11
5x=11-10
5x=1
Then divide both sides with 5( the coefficient of x)
So x= 0.2 or 1/5 still the same answer

Mark as brainleast plzzz

if both expressions have the same value after substituting two different values and simplifying, then they are . When p = 2, the first expression is and the second expression is 16. When p = 8, the first expression is 40 and the second expression is . The expressions are .

Answers

2p=16 and second expression is 8p=40

Answer:

If both expressions have the same value after substituting and simplifying two different values for the variable, then they are  

✔ equivalent

.

!Step-by-step explanation:

hop3 it helped

Find the volume of the triangular prism.
A triangular prism has a height of 6 meters. Its triangular bases have a base length of 4.2 meters. and a height of 2.8 meters.

The volume of the triangular prism is ___

Answers

Answer:

V = 35.28 m³

Steps:

V = H × (h×bl)/2

V = 6 × (4.2×2.8)/2

V = 6 × 11.76/2

V = 6 × 5.88

V = 35.28 m³

Please help me in it! It's very difficult, i'm in 6th and I still don't understand this. Please, help me in this!!!

Answers

Answer:

40

where the line starts (75) and ends (115)

115-75=40

thats the quick way to solve... hope this helps!

Step-by-step explanation:

Brainliest?

how do you round 0.955 to the nearest tenth

Answers

Answer:

1.0

Step-by-step explanation:

If you have any questions feel free to ask in the comments

Answer: 1.0

Step-by-step explanation:

Given:  "0.995 inches" ; round to the nearest TENTH of an inch.

(which means; round to the nearest "first decimal point" ; and to include the actual first decimal point (and that decimal point only, the "tenths place").

We are given the number:  "0.955" .  This is given to the nearest THOUSANDS.  

We examine the "tenths place":  "0.9" .  So we know our choices are:

"0.9" (round down to the nearest tenths place); or, "1.0" (round up to the nearest tenths place).  

           →  We examine the number: "0.955" ; and look to the next value, the "hundredths place".  

           → If that digit is 5 or greater (i.e. 5 to 9), we "round up" ; and the correct answer is:  "1.0" .  If that number is "4" or less (i.e. 0 to 4), we round down; and the correct answer is:  "0.9".

________________________________________

In the case of our give value:  "0.955" .  The digit to the right of "9" is "5" ; so, as previously mentioned, we "round up" ;  to:  "1.0".

Do not forget to include the units.

______________________________________________________

The answer is:  1.0 inches.

_________________________________________________

Complete the equation of the line through (-8,-2) and (-4,6)
Use exact numbers.
y=

Answers

Answer:

round 55666777 for 5th 50th is not a big game for a player who will give the 8th or 3rd season to 466

how to read a q q q q q q q q q q q q q q q q q

Answers

Your read from left to right. Read intensively if you want to practice the fundamentals and learn vocabulary. Intensive reading is focused more on individual details of what you’re reading.

hope this helped <3

Answer:

This is how to read a

Pronounce it with your mouth open as in "ah" then smile with an "ee" sound. Say "Ay" and that's how you say A or "Ah"

How to read Q? Just pronounce it as "Kyuu" or when reading it say "Ck" with a sharper sound.

Hope this helped!

CAN SOMEONE HELP AND EXPLAIN WHAT TO DO PLEASEEEEEEEEEEEEEE

Answers

Answer:

a. 19 Questions

b. No, Collins grade was 81%, or B-minus :(

Step-by-step explanation:

There are 21 questions in total on the test. Collin wants a 90 percent at least. If you multiply 21 by 90 percent (as below), you will get 18.9

[tex]21 * .9\\=18.9[/tex]

Of course, you can't get 18.9 questions right (unless you're teacher gives .9 extra points lol, So we need to round UP to a whole number (don't round down because it'll give you a number lower than what 90 percent would equate to.

And, Collin got 17 questions right. That's equivalent to 81 percent of 21 (as below).

[tex]17 / 21\\=.8095[/tex]

This rounds to about 81%, meaning Collin did not reach his goal :(. Oh well, he'll just have to try harder next time!

Have a nice day, fam.

What is the value of 9x^2 + 13x – 15, if x = 2

Answers

Step-by-step explanation:

Given,

[tex]9 {x}^{2} + 13x - 15[/tex]

and

[tex]x = 2[/tex]

Substitute x = 2 into expression.

[tex]9 {x}^{2} + 13x - 15 = 9( {2}^{2} ) + 13(2) - 15 \\ = 9(4) + 26 - 15 \\ = 36 + 26 - 15 \\ = 62 - 15 \\ = 47[/tex]

Answer:

9(2)×2+13(2)-15

18×2+26-15

36+11

47 is your answer ☺️☺️☺️

4. Evaluate the expression for the given value of each variable.


5a2 -7 -b3

when a = -2 and b = -3

please help!
NO LINKS!!!

Answers

Answer:

-18

Step-by-step explanation:

5a2-7-b3

[tex]5*a*2-7-b*3[/tex]

[tex]5\cdot \left(-2\right)\cdot \left(2\right)-7-\left(-3\right)\cdot 3[/tex]

Therefore, -18 is your answer.

Hope this helped! :)

200 PTS AND BRAINLIEST!!!!!!!!!!!!!!!!TYYYYY!!!!!!!!!!!!nEEDASAP
(a) Andre is planning on renting a new apartment, but he wants to stay within his budget on rent and utilities. Andre is looking at an apartment. The apartment costs $1450 per month, plus $250 for utilities. Will this apartment fit within Andre’s budget? Show your work and explain your reasoning.
(b) How much more money does Andre budget for savings than for groceries and utilities combined? Show your work. Write your answer as a dollar amount.

Answers

Answer:

Apartment 1 is his best option

Answer: Apartment 1

Step-by-step explanation:

What is the difference between a leg and a hypotenuse?

Answers

Answer:

Legs - the sides that form the right angle of a right triangle.

Hypotenuse - the side opposite the right angle of a right triangle.

Step-by-step explanation:

Every triangle has 3 sides.

Certain special triangle have specific names assigned to their sides.

A right triangle has one right angle and two acute angles. The two sides that form the right angle of a right triangle are called legs. The third side of the right triangle is called hypotenuse. The hypotenuse is opposite the right angle and does not help form the right angle.

im totataly lost:( (needs help)

Answers

Answer:

B)All the real numbers

Step-by-step explanation:

the given Graph is Parabola

so the function has to be quadratic

we know that the domain of a quadratic function is always [tex]x\in\mathbb{R}[/tex]

hence, our answer is B

Find the volume of a right circular cone that has a height of 9.7 ft and a base with a
radius of 7.6 ft. Round your answer to the nearest tenth of a cubic foot.

Answers

Height =9.7ft

Radius=7.6 feet

Volume of a cone =pai r2 h/3 =3.14×57.76×9.7÷3 =586.4103(roundoff)

=586ft

Which ordered pair would not be a solution to y = x3 – X ?
(-4,-60)
(-3,-24)
(-2,-6)
(-1,-2)

Answers

Answer:

Step-by-step explanation:

The inverse of the function f(x) = { x + 10 is shown.
h(x) = 2x-0
What is the missing value?
O 1
O 5
O 10
O20

Answers

Answer:

D) 20

Step-by-step explanation:

the missing value is 20

the last option

The equation h(x) = 2x - 0 = x - 10 is satisfied by the value x = -10; the omitted integer is 10.

What is a function?

A function is a mathematical formula that illustrates the relationship between the dependent and independent variables. The independent variable's value and the dependent variable's value both change in the function.

Determine x in terms of f(x) in order to determine the inverse of the function f(x) = x + 10:

f(x) = x + 10

f(x) - 10 = x

x = f(x) - 10

Since h(x) is the opposite of f(x), replace x with h(x):

h(x) = f⁻¹(x) = x - 10

Since h(x) is the opposite of f(x), replace x with h(x):

To identify the missing value, compare the expression for h(x) to the supplied function, h(x) = 2x-0. We can see that the appropriate expression for h(x) is:

h(x) = 2x - 0 = x - 10

Find the value of x that allows this equation to be solved:

2x - 0 = x - 10

Simplifying and solving for x,

x = -10

Therefore, the missing value is O 10, since x = -10 satisfies the equation h(x) = 2x - 0 = x - 10

To know more about function follow

https://brainly.com/question/18465990

#SPJ7

Will give Brainliest to whoever helps me.

Answers

Answer:

BJCJCJ

Step-by-step explanation:

Answer:

1. B

2. J

3. C

4. F

5. C

6. J (I think, Sorry if u get it wrong)

Step-by-step explanation:

Thank me later lol.

A rabbit is carrying a dominant allele for brown hair (B) and a recessive allele for white hair (b). What is the rabbit's phenotype?

Answers

Answer:

B

Step-by-step explanation:

Its dominant because its brown hair.

I need steps for this (need answers asap)

Answers

Answer:

(2x-7)(x+12)

Step-by-step explanation:

2x²+17x-84

(2x     )(x     )

We were told to use 7 and 12 to equal 84. Let's try 12 in the first bracket and 7 in the second:

(2x  12)(x   7): (2x)(7) and (12)(x) = 14x and 12x, which we cant make 17x from

Now let's try 7 in the first bracket and 12 in the second:

(2x   7)(x   12): (2x)(12) and (7)(x) = 24x and 7x, which we CAN use to make 17x if the 7x is negative, ie place a '+' before the twelve in the second bracket and a '-' before the seven in the first bracket.

(2x-7)(x+12)

Double check: (2x-7)(x+12)=2x(x+12)-7(x+12)=2x²+24x-7x-84=2x²+17x-84

8
p varies directly as the square root of q.
p = 8 when q = 25.
Find p when q = 100.

Answers

Answer:

16

Step-by-step explanation:

p=k√q

8=k√25

8=k5

k=8/5

p when q=100

p=8/5*√100

p=8/5*10

p=16

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