Question
A defensive football squad consists of 25 players. Of these, 10 are linemen, 10 are linebackers, and 5 are safeties. How many different teams of 5 linemen, 3 linebackers, and 3 safeties can be formed?
Step 1
The number of ways to do this is given by the combination formula, which is $\frac{n!}{r!(n-r)!}$ where n is the total number of items, and r is the number of items to choose. So, the number of ways to choose 5 linemen from 10 is $\frac{10!}{5!(10-5)!}$. Show more…
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