A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors?
Q1. A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors?
Answer: ¹² C ₇ * ¹⁰ C ₅
Explanation: Selecting 5 seniors from 12 and 5 juniors from 10: C(12,5)×C(10,5) = C(12,7)×C(10,5).