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A president, treasurer, and secretary, all different, are

Chapter 1, Problem 3STE

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QUESTION:

A president, treasurer, and secretary, all different, are to be chosen from a club consisting of 10 people. How many different choices of officers are possible if

(a) there are no restrictions?

(b) A and B will not serve together?

(c) C and D will serve together or not at all?

(d) E must be an officer?

(e) F will serve only if he is president?

Questions & Answers

QUESTION:

A president, treasurer, and secretary, all different, are to be chosen from a club consisting of 10 people. How many different choices of officers are possible if

(a) there are no restrictions?

(b) A and B will not serve together?

(c) C and D will serve together or not at all?

(d) E must be an officer?

(e) F will serve only if he is president?

ANSWER:

Step 1 of 6

The following are the possible number of different choices of officers based on each given situation above.

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