Question

In how many ways can a committee of 3 members be chosen from a group of 8 people?

• A. 56
• B. 64
• C. 48
• D. 72

Hint:

Committee selection ignores order, so use combinations.

Answer 1

The Correct Option is A

Step 1: Recognise it as a combination.
Order does not matter, so use \(\binom{8}{3}\).
Step 2: Apply the formula.
\[\binom{8}{3} = \dfrac{8!}{3!\,5!}\] Step 3: Compute.
\[= \dfrac{8 \times 7 \times 6}{3 \times 2 \times 1} = \dfrac{336}{6} = \boxed{56}\]