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sergey [27]
3 years ago
15

A corporation must appoint a​ president, chief executive officer​ (CEO), chief operating officer​ (COO), and chief financi

al officer​ (CFO). It must also appoint a planning committee with four different members. There are 13 qualified​ candidates, and officers can also serve on the committee. A. How many different ways can the officers be​ appointed?B. How many different ways can the committee be​ appointed?
C. What is the probability of randomly selecting the committee members and getting the four youngest of the qualified​candidates?
Mathematics
1 answer:
bija089 [108]3 years ago
5 0

Answer:

A) 715 ways

B) 715 ways

C) (1/715)

Step-by-step explanation:

This is a permutation and combination problem.

Since we want to select a number of people from a larger number of people, we use combination as the order of selection isn't important now.

A) How many different ways can the officers be appointed?

There are 4 officer positions.

There are 13 people in total.

We want to select 4 people from 13

Number of ways to select 4 people from 13 = ¹³C₄ = 715

B) How many different ways can the committee be appointed?

Number of committee members = 4

Total number of people available = 13

Number of ways to select 4 people from 13 = ¹³C₄ = 715

C) What is the probability of randomly selecting the committee members and getting the four youngest of the qualified candidates?

Selecting a group of the youngest candidates is just 1 amongst the total number of ways the 4 committee members can be picked,

Hence, the required probability = (1/715)

Hope this Helps!!!

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Step-by-step explanation:

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This circle is centered at the orgin, and the length of it’s radius is 5. What is the ewuation of the circle?
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A box of pencils costs $10.The total cost (c) as a function of the number of boxes (b) is expressed as c = f(b) = 10b. What is t
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Answer:

Domain (b) = {0, 1, 2, 3, 4....}

Set of all whole numbers

Step-by-step explanation:

Given: A box of pencils costs $10.

Total cost (c) = 10b, where "b" is the number of boxes.

Here c represents the range which is dependent variable and b represents the number of boxes which is independent variable.

For instance, if you buy 10 boxes of pencils, you need to pay = 10(10) = $100

Here we replace b with the number of boxes.

The number of boxes cannot be negative. It will star from 0,1, 2, 3....

Therefore, domain (b) = {0, 1, 2, 3, 4....} which is set of whole numbers.

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60% or 3/5 of the tank will be filled in an hour.

The pump will fill 2/5 of the tank in 2/3 hours.

In order to find out how much of the tank will be filled in an hour, use direct proportion and assume portion of the tank that will be filled up in an hour is x.

<em>2/5 of tank        :            2/3 hours </em>

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Cross multiply to get:

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<em>Find out more at brainly.com/question/14336804.</em>

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