A team has 5 men and 6 women. In how many ways can a group of 1 men and 2 women be chosen?

Answer and explanation

Correct answer: A. 75

  1. Step 1: Choose the men: ; choose the women: .
  2. Step 2: The choices are independent, so multiply: .
Answer
75.
Why not the others: 165: it ignores the gender requirement. 20: the two numbers are added instead of multiplied. 155: order is counted.

Practise more Counting and Probability.

Free questions with an explanation for every one, and full timed Junior Cycle (Ireland) mock tests.