The Teknomite Corporation must appoint a president, chief executive officer (CEO), a chief operating officer (COO). It must also appoint a planning Committee with three different members. There are eight qualified candidates, and officers can also serve on the committee. How many ways can the officers be appointed? How many different ways can the committee be appointed?

Answers

Answer 1

Answer:

336 ways ;

56 ways

Step-by-step explanation:

Number of ways to have the officers :

Number of qualified candidates, n = 8

Number of officer positions to be filled = 3

A.)

Using permutation (since the ordering matters):

nPr = n! ÷(n-r)!

8P3 = 8! ÷ (8-3)!

8P3 = 8! ÷ 5!

8P3 = (8*7*6)

8P3 = 336 ways

B.) Different ways of appointing committee: (ordering doesn't count as officers can also be appointed)

Using the combination relation :

nPr = n! ÷(n-r)!r!

8C3 = 8! ÷ (8-3)! 3!

8C3 = 8! ÷ 5!3!

8C3 = (8*7*6) ÷ (3*2*1)

8C3 = 336 / 6

8C3 = 56 ways


Related Questions

Tyler has a $12 gift certificate to use at
a department store. He decides to buy
4 notebooks that each cost $2.45, and
5 pens that each cost $1.31.
If Tyler uses his gift certificate, how
much money will he still need to pay?

Help me please!!

Answers

Answer:4.35

Step-by-step explanation:

4*2.45=9.8 5*1.31=6.55

9.8+6.55= 16.35

16.35-12=4.35

m : _____
b : _____
Equation : ______


PLEASE HELP ME !!!

Answers

Answer:

m:is the slope b:y intercept      equation:y=mx+6

Step-by-step explanation:

25 points please answer all 4 problems

Answers

Answer: The answers are in order

6(n-9)=54

5x=35

3x-6

1/2(y+12)=7

Step-by-step explanation:

please help i have less than 20 minutes

Answers

Answer:

120

Step-by-step explanation:

120 i think is correct

Hewo do u know fractions because I am dying from it T-T

1/2+___=7/6

Help T-T

Answers

Answer:

1/2 + 4/6 = 7/6

Step-by-step explanation:

1/2 would be 3/6 so add 4/6 would be 7/6 uwu.

Hope this helps :)) Plz mark brainliest :))

WE SCORED 17/22 on the test BOIS LES GOOOOOOOOOOOOOO TY FOR EVERYONE THTA HELPED YSTERDAY!!

Answers

Answer:

Good job

Step-by-step explanation:

A high school teacher gives three regular exams during a semester and one final exam at the end of the semester. A student’s final grade is found by taking of the student’s three regular exam scores and then adding 40% of the student’s final exam score. Sophia earned scores of 78, 92, and 80 on the three regular exams and a score of 90 on the final exam. What is Sophia’s final grade?

Answers

To get an average score of 80% (out of four exams), a total of 4*80%=320% is needed, so the minimum required for the 4th test is 320-(75+97+60)=88.
To get an average score of 89% (out of four exams), a total of 4*89%=356% is needed, so the maximum required for the 4th test is 356-(75+97+60)=124, which is impossible.
So the next exam grade must range between 88 and 100 to get a grade b in the class.

Hoped I help! Mark brainly it would help<3

At what value of x does the graph of the following function F(x) have a vertical asymptote?

Answers

B. 3

__________________

Solve the equation, enter the value in the box below.
1 x= 5

Answers

Answer:

x=5

Step-by-step explanation:

The distance from your home to the school is 4 9/10 miles. From your house to the pool is 3 1/2 miles. How much farther are you from the school than from the pool?

Answers

4 9/10 - 3 1/2
4 9/10 - 3 5/10= 1 4/10 = 1 2/5 miles =1.4 miles
I agree with the person who answered first.

Write a function rule that gives the total cost c(p) of p pounds of flour if each pound costs $3. How
much would it cost for a three pound bag of sugar?

Answers

Answer:

C(p) = ($3/pound)p

$9

Step-by-step explanation:

C(p) = ($3/pound)p is the applicable rule.

Three pounds would cost C(3) = ($3/pound)(3 pounds) = $9

Can someone help pls

Answers

(1.8k-5) + (k+1.5) + (3.5+6.1k) = 53.4
8.9k=53.4
k=6

Write two division expressions that have the same value as 36.8 divided by 2.3 (16)

Answers

Answer:

64 divided by 4=16

144 divided by 9=16

Step-by-step explanation:

25 PTS HELPPPPPPPPPPPPPPPPPPpppp
Given the Explicit Sequence f(n) = 2×3n−1, what is f(5)?

Answers

Answer:

29

Step-by-step explanation:

2x3(5)-1

(2x15)-1

30-1

29

Answer:

29

I hope this help happy friday

solve for s -7s+3s-6=14

Answers

Answer:

s=-20/3

Step-by-step explanation:

Line the numbers

Answer:

s=-[tex]\frac{20}{3}[/tex]

Step-by-step explanation:

Exact Form:

s=−[tex]\frac{20}{3}[/tex]

Decimal Form:

s=−6.6 repeating

Mixed Number Form:

s=−6[tex]\frac{2}{3}[/tex]

how many centimeters is the growth rate of the plant per week? Please i really need this. PICTURE WHEN YOU CLICK

Answers

Answer:

The rate of growth per week is 1/2 a centimeter.

Hey I need help with this one question I don’t understand it brushed endnoteyrndjfnfjfjfiffj

Answers

the slope is -6 , -2x -6

Which is a recursive formula for the sequence 50, 54, 58, 62, …?

A. an=4n+46
B. {a1=50an=an−1+4, where n≥2
C. an=4n+50
D. {a1=46an=an−1+4, where n≥2

Answers

Answer:

66

Step-by-step explanation:

50+4=54 all u have to do is keep adding 4

I urgently need help!!!!!!

Answers

Answer:

You are given a right triangle. The sum of the two acute angles should add up to 90 degrees. Set up an equation using the expressions given and solve for x. Once you know the value of x plug it back into each expression to find the measure for each angle.

Step-by-step explanation:

Angle 1 + angle 2 = 90

solve for x = ____

Plug the value into each expression to find the measure of each angle.

Answer:

D

Step-by-step explanation:

(2x+6)+(5x+14)=90

7x+20=90

7x=70

x=10

(2x+6)=26°

(5x+14)=64°

Show that the binomial is a factor of the polynomial. Then factor the polynomial completely.

g(x)=x3−x2−20x; x+4
g(x)=

Answers

Answer:

g(x) = x(x - 5)(x + 4)

Step-by-step explanation:

Here the binomial is x + 4, indicating that a root is -4.  Note that x is common to all terms of g(x)=x3−x2−20x, so we can immediately write g(x) in partially factored form as

g(x) = x(x^2 - x - 20).  Since -20 = -5*4,

g(x) = x(x - 5)(x + 4)

Answer:

x(x-5)(x+4)

Step-by-step explanation:

Checked. Answer submitted prior to mine is correct on BIM.

5 x (h + 3) for h = 7 dose anyone know the answer to this?

Answers

Answer:

50

Step-by-step explanation:

5* ( 7+3)

5* 10

50.

.so the answer is 50

Answer:

50

Step-by-step explanation:

5 x (h + 3) = 5 x (7 + 3)

= 5 x (10)

= 50

Solve the system of equations using the method of your choice

Answers

Answer:

(-3, -1); x = -3; y = -1

Step-by-step explanation:

-3x + 5y = 4; x + y = -4

solving via substitution

rearrange second equation: y = -x - 4

-3x + 5(-x - 4) = 4

-3x - 5x - 20 = 4

-8x -20 = 4

-8x = 24

x = -3

- 3 + y = -4

y = -1

(-3, -1)

Check

- 3 + -1 = -4

Use addition to solve the
Ix-y=6
ly=x-4

Answers

Answer:

Ix-y=6, Ly=x-4

Step-by-step explanation:

Hey I'm Chloe, can you help me. Thank you :)
1. Write your answer with the number only, for example 555.
I think it's 132 But I'm not sure.

Answers

Answer:

132

Step-by-step explanation:

The line = 180 and CBD = 48. 180-28= 132. Also, CA is obtuse.

Answer:

132

Step-by-step explanation:

✨ Easy points for those who are good at finding slope ✨
( The question is “Which graph matches the following equation )

Answers

Answer:

c

Step-by-step explanation:

plot the y intercept, which is 2 at (0,2). Then use do rise/run, which is 1/2. go up one time, then to the right two times.

23
(12v + 5)
95
Need help!

Answers

doo

doooo doooooooo

Step-by-step explanation:

How long will it take for $1,000 to double at a simple interest rate of 5.5%

Answers

Answer:

12.63

Step-by-step explanation:

Will mark as brainiest.
Average Cost: It costs a manufacturing company $8 to produce one can of paint. If the initial investment in the production line was 50,000, how many cans of paint must be produced before the average cost per can falls to $10?

Answers

Answer: let

x = # cans produced

fixed cost = $50,000

variable cost = $8/can

Step-by-step explanation: I am ultimate pro at this

A number is multiplied by 5,and then 3 is subtracted from the product.the result is 12.find the number

Answers

The number is 3. The math is 5 x 3 = 15 15 - 3 = 12
The answer is 3 because you have to add 3 on both sides. Then you will get 5x =15 then to get X by itself you would have to divide by 5 on Both sides 5x/5 cancels its self out then your left with x 15/5=3 so you will get X=3 therefor the number is 3

5x-3=12
+3 +3
5x=15
———-
5 5

X=3

Write an equation in point-slope form for the line that passes through the point with the given slope. point: (4,2) and m=3

Answers

Answer:

y = 3x - 10

Step-by-step explanation:

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