Question

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?

Answer 1

Answer:

Number of ways to from a committee is 210

probability (4 youngest member from a committee)=$\frac{1}{210}$

Step-by-step explanation:

Total no of candidates are 10

Here we have four vacant seat for president, chief executive officer (CEO), chief operating officer (COO), and chief financial officer (CFO)

Here we have use combination rule

$\textrm{number ways to from a committee}=_{10}C_4=\dfrac{(10)!}{6!.4!}=210$

Total number of possible way to from a committee are 210

Tota no of possible from a committee of 4 member is 1

Probability (4 youngest member from a committee) = $\frac{1}{210}$