A team has 4 men and 3 women. In how many ways can a group of 2 men and 2 women be chosen?

Answer and explanation

Correct answer: A. 18

  1. Step 1: Choose the men: ; choose the women: .
  2. Step 2: The choices are independent, so multiply: .
Answer
18.
Why not the others: 35: it ignores the gender requirement. 9: the two numbers are added instead of multiplied. 76: order is counted.

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A team has 4 men and 3 women. In… | Junior Cycle (Ireland)