1a) The local FFA chapter has 13 members. The top five members of the club are ranked: 1st, 2nd, 3rd, 4th, 5th. In how many ways can the FFA chapter rank the top five team members. 1b) The local FFA chapter has 13 members. They are holding elections to elect a President, Vice President, and 3 people to be members of the event planning committee. If a member can hold at most one position, in how many ways can the positions be selected from the club members?

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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1a) The local FFA chapter has 13 members. The top five members of the club are ranked: 1st, 2nd, 3rd, 4th, 5th. In how many ways can the FFA chapter rank the top five team members.

1b) The local FFA chapter has 13 members. They are holding elections to elect a President, Vice President, and 3 people to be members of the event planning committee. If a member can hold at most one position, in how many ways can the positions be selected from the club members?

Expert Solution
Step 1

1a)

 

Consider the function:

 

Given that:

 

The local FFA chapter has 13 members. The top five members of the club are ranked: 1st, 2nd, 3rd, 4 th, 5th.

 

To calculate the number of ways can the FFA chapter rank the top five team members,

 

No. of ways the FFA chapter rank the top five team members is equal to = 13P5

P513=13!13-5!=13!7!=13×12×11×10×9×8!8!=154440

154440 numbers of ways the FFA chapter rank the top five team members.

 

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