Question

From a group of 8 candidates, a committee of 3 people is selected. In how many different ways can the committee be selected? EXPLAIN YOUR WORK !!! 30 Points !!!!

Answer 1

Here, Order doesn't matter so we would apply combination:
ⁿCₓ = n! / r! (n - r)!
⁸C₃ = 8! / 3! (8 - 3)!
⁸C₃ = 8! / 3! 5!
⁸C₃ = 8 * 7 * 6 * 5! / 3! 5!
⁸C₃ = 8 * 7 * 6 / 3 * 2
⁸C₃ = 336 / 6
⁸C₃ = 56

In short, Your Answer would be 56

Hope this helps!