Question Detail
Question
In how many ways can 4 boys be chosen from 7 boys to make a committee?
Correct Answer
Option D is the correct answer.
Detailed Explanation
When forming a committee, the order in which the boys are chosen does not matter; only the final group of 4 boys is important. Therefore, this is a combination problem. We need to choose 4 boys out of 7. The formula for combinations is C(n, r) = n! / (r! * (n-r)!). Here, n=7 and r=4. So, C(7, 4) = 7! / (4! * (7-4)!) = 7! / (4! * 3!) = (7 * 6 * 5 * 4!) / (4! * 3 * 2 * 1) = (7 * 6 * 5) / (3 * 2 * 1) = 7 * 5 = 35 ways.
Hint
The order of selection for a committee does not matter.