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A television program director has 14 shows available for Monday night and 5 shows must be chosen. How many different possible combinations are there?

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14 x 13 x 12 x 11x 10

This is the counting principle. This Assumes choosing: ABCDE is different from ACDEB

If you really want a combination you can use:

14! divided by the product of 5!times 9!

5! means 5x4x3x2x1

there will be fewer combinations because ABCDE is the same as ACBDE
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