a reading list for a course contains 20 articles. how many ways are there to

by Taylor Jaskolski 6 min read

There are 20*19*18 = 6,840 ways to choose 3 articles assuming order matters. If order does not matter, then there are 6840/ (3!) = 6840/6 = 1,140 ways to choose 3 articles.

Full Answer

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Question

A reading list for a course contains 20 20 articles. How many ways are there to choose three articles from this list?

Combinations and Permutations

When calculating the number of ways to choose a small group of objects from a larger set, we need to be careful about whether or not order matters. If order does matter, we are calculating the number of permutations. If order doesn't matter, we're calculating the number of combinations.

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