just part b,c, and d. For parts b and c, the answer says to multiply the possibl

Question

just part b,c, and d. For parts b and c, the answer says to multiply the possible outcomes by 3, but when you are choosing 2 people for 3 spots, don't you have to multiply by 6? . Since all spots are distinct i would have thought it would be 6 and not 3

EATBOOK SOLUTIONS EXPERT G&A; Chapter 1, Problem 3STE (6 Bookmarks) Show all steps: Problenm 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? 6

Explanation / Answer

Solution:

a. 10P3
b. all ways - A&B included = 10P3 - 8C1*3!
c. together + not at all = 8C1*3! + 8P3
d. 9C2*3!
e. pres + excluded = 9P2 + 9P3

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