Use permutations and combinations to compute probabilities of compound events and solve problems.
Decide whether a counting situation uses a permutation or a combination
Problem
Should this counting problem use a permutation or a combination: choosing \(3\) people for a committee?
Big Picture
What this problem is really about
The key decision is whether rearranging the same selected people creates a new outcome. We’ll test that question for a committee with no assigned offices, conclude that membership alone defines the group, and match the situation to unordered counting rather than ordered positions.
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