Practice Combination in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
A combination is an unordered selection of objects — the number of ways to choose r items from n distinct items is C(n,r) = \frac{n!}{r!(n-r)!}.
How many ways to choose a group? \{A, B, C\} = \{C, B, A\}.
Example 1
easyA committee of 3 is to be chosen from 8 people. How many different committees are possible?
Example 2
mediumFrom a group of 6 men and 4 women, how many committees of 5 can be formed that include exactly 3 men and 2 women?
Example 3
mediumHow many ways can you choose 4 books from a shelf of 10 books?
Example 4
mediumA pizza shop offers 8 toppings. How many different 3-topping pizzas can be made if order does not matter?