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(b) There are 12 European cities that Alice would eventually like to visit. On her next...

(b) There are 12 European cities that Alice would eventually like to visit. On her next vacation, though, she only has time to visit 3 of the cities: one on Monday, one on Tuesday, and one on Wednesday. She is now trying to make a schedule of which city she'll visit on which day. How many different schedules are possible? (Assume that she will not visit a city more than once.)

math   Statistics-And-Probability   
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Answer #1

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P(n,x) = n!/(n-x)!

How many different schedules are possible?

Choose 3 cities among a set of 12, So

There are 12!/(12-3)! Possible wasys

That is 1320 different schedules are possible.

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