(a) A certain committee consists of 15 people. From the committee, a president, a vice-president, a secretary, and a treasurer are to be chosen. In how many ways can these 4 offices be filled? Assume that a committee member can hold at most one of these offices. (b) There are 13 European cities that Scott would eventually like to visit. On his next vacation, though, he only has time to visit 3 of the cities: one on Monday, one on Tuesday, and one on Wednesday. He is now trying to make a schedule of which city he'll visit on which day. How many different schedules are possible? (Assume that he will not visit a city more than once.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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(If necessary, consult a list of formulas.)
(a) A certain committee consists of 15 people. From the committee, a president, a vice-president, a
secretary, and a treasurer are to be chosen. In how many ways can these 4 offices be filled? Assume
that a committee member can hold at most one of these offices.
(b) There are 13 European cities that Scott would eventually like to visit. On his next vacation,
though, he only has time to visit 3 of the cities: one on Monday, one on Tuesday, and one on
Wednesday. He is now trying to make a schedule of which city he'll visit on which day. How many
different schedules are possible? (Assume that he will not visit a city more than once.)
Transcribed Image Text:(If necessary, consult a list of formulas.) (a) A certain committee consists of 15 people. From the committee, a president, a vice-president, a secretary, and a treasurer are to be chosen. In how many ways can these 4 offices be filled? Assume that a committee member can hold at most one of these offices. (b) There are 13 European cities that Scott would eventually like to visit. On his next vacation, though, he only has time to visit 3 of the cities: one on Monday, one on Tuesday, and one on Wednesday. He is now trying to make a schedule of which city he'll visit on which day. How many different schedules are possible? (Assume that he will not visit a city more than once.)
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