Corporate Officers and Committees The Digital Pet Rock Company was recently successfully funded via Kickstarter and must now appoint a president, chief executive officer (CEO), chief operating officer (COO), and chief financial officer (CFO). It must also appoint a strategic planning committee with four different members. There are 10 qualified candidates, and officers can also serve on the committee.a. How many different ways can the four officers be appointed?b. How many different ways can a committee of four be appointed?c. What is the probability of randomly selecting the committee members and getting the four youngest of the qualified candidates?

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Asked Jan 21, 2020
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Corporate Officers and Committees The Digital Pet Rock Company was recently successfully funded via Kickstarter and must now appoint a president, chief executive officer (CEO), chief operating officer (COO), and chief financial officer (CFO). It must also appoint a strategic planning committee with four different members. There are 10 qualified candidates, and officers can also serve on the committee.

a. How many different ways can the four officers be appointed?

b. How many different ways can a committee of four be appointed?

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

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Expert Answer

Step 1

a.

From the given information, strategic planning committee with four different members and there are 10 qualified candidates. By using the combination rule,

The number of ways can the four officers be appointed is obtained below:

Statistics homework question answer, step 1, image 1
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Step 2

b.

Number of ways can a committee of four ...

Statistics homework question answer, step 2, image 1
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