Suppose you have 100 math books. a. How many ways can you choose 10 and arrange them on the top shelf of your bookcase? b. How many way can you choose 10 take on vacation with you?
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This can be done in C(100, 10) ways, where C(n, k) denotes the number of combinations of choosing k items from a set of n items. Now, for part a, we need to arrange the chosen 10 books on the top shelf. This can be done in 10! (10 factorial) ways, as there are 10 Show more…
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