In how many ways can a committee of 2 be chosen from 7 people?

Answer and explanation

Correct answer: D. 21

  1. Step 1: Order does not matter, so use combinations: C(7, 2) = 7! / (2! x 5!).
  2. Step 2: C(7, 2) = 21.
Answer
21.
Why not the others: '42' counts ordered selections (permutations) instead of combinations; '14' multiplies n and k; '28' adds n to the correct count.

Practise more Algebra, Trigonometry and Probability.

Free questions with an explanation for every one, and full timed Qatar Senior Secondary Certificate (Thanaweya) mock tests.