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

12. A corporation must appoint a​ president, chief executive officer​ (CEO), chief operating officer​ (COO), and chief financial officer​ (CFO). It must also appoint a planning committee with five different members. There are 17 qualified​ candidates, and officers can also serve on the committee. Complete parts​ (a) through​ (c) below.

A. There are ____different ways to appoint the officers.

b. There are ____different ways to appoint the committee.

c. ​P(getting the five youngest of the qualified ​candidates) =

13. A clinical test on humans of a new drug is normally done in three phases. Phase I is conducted with a relatively small number of healthy volunteers. For​ example, a phase I test of a specific drug involved only 5 subjects. Assume that we want to treat 5 healthy humans with this new drug and we have 9 suitable volunteers available. Complete parts​ (a) through​ (c) below.

b. If 5 subjects are selected from the 9 that are​ available, and the 5 selected subjects are all treated at the same​ time, how many different treatment groups are​ possible?

There are ___ different treatment groups possible.

c. If 5 subjects are randomly selected and treated at the same time, what is the probability of selecting the 5 youngest subjects?

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