Problem 36 of 7
Count combinations for form a committee of 3 men and 2 women from a group of 7 men and 5 women.
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use n choose r when order does not matter.
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Use combinations when order does not matter.
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Solution
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1. Decide that order does not matter.
2. Identify n and r.
3. Compute n choose r.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Permutation counts when selected group order is irrelevant.