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