A committee of 5 is to be chosen from 10 senators. How many ways can this be done?
• Combination is a selection of things in which order is not important.
• The number of ways to select a committee of 5 people, r, from a total of 10 senators, n, is .
• There are 252 ways the selection can be done.
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PROBLEM:
A committee of 5 is to be chosen from 10 senators. How many ways can this be done?
SOLUTION:
• Combination is a selection of things in which order is not important.
• The number of ways to select a committee of 5 people, r, from a total of 10 senators, n, is .
Thus,
ANSWER:
• There are 252 ways the selection can be done.