SOLUTION: Suppose there are 14 freshman, 10 sophomores, 16 juniors, and 15 seniors running for the offices of president, vice president, and secretary. If no person can hold more than one of

Algebra ->  Permutations -> SOLUTION: Suppose there are 14 freshman, 10 sophomores, 16 juniors, and 15 seniors running for the offices of president, vice president, and secretary. If no person can hold more than one of      Log On


   



Question 1144608: Suppose there are 14 freshman, 10 sophomores, 16 juniors, and 15 seniors running for the offices of president, vice president, and secretary. If no person can hold more than one office, in how many different ways could these people be elected to these positions if the president must be a senior and the secretary must be a freshman?
Answer by greenestamps(13198) About Me  (Show Source):
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# of choices for president: 15
# of choices for secretary: 14
# of choices for vice president: (14-1)+10+16+(15-1) = 53

Multiply the numbers of choices for each office.