Determine when you would you use permutation versus combination to solve a counting problem. Provide a rationale with your decision.

How many ways 3 horses can win a race is a PERMUTATION problem because there are 3 distinct ways to win: win, place, and show. So ORDER MATTERS.

How many ways you can choose 3 people to do a project out of a group of 20 people is a COMBINATION problem, because the ORDER DOES NOT MATTER.

Hope that makes sense.

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