Of the 6 courses offered by the music department at her college, Kay must choose exactly 4 of them. How many different combinations of 4 courses are possible for Kay if there are no restrictions on which 4 courses she can choose?

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Answer 1 · 2017-04-02T13:58:50

15

Since order does not matter, we use combination (choose 4 out of 6 total possibilities). #""_6C_4=(""_4^6)=(6!)/(4!(6-4)!)=15#.