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In the short form, the total number of different combinations you can get are 64. The work to obtain that number is shown below.

Let's call each of them different names. There will be starter 1, 2, 3, 4, and 5.

The possible combinations are as follows for the first set of numbers:

# 1,2,3,4,5 # 1,2,3,5,4 # 1,2,4,5,3 # 1,2,4,3,5 # 1,3,2,4,5 # 1,3,2,5,4 # 1,3,4,2,5 # 1,3,4,5,2 # 1,4,2,3,5 # 1,4,2,5,3 # 1,4,3,2,5 # 1,4,3,5,2 # 1,5,2,3,4 # 1,5,2,4,3 # 1,5,3,4,2 # 1,5,3,2,4 Those are the possible combinations if the starter 1 went first. Multiply the total combinations for the first set by 4, and you get a total of 64 combinations.

Q: If there are 5 starters on a team how many different groups of 3 can there be?

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