Question
From a group of 8 engineers and 4 doctors, a committee of 6
members is to be formed. Find the number of ways to form the committee such that at least 5 engineers are selected.Solution
Case I: 5 engineers and 1 doctor:
8 C 5 × 4 C 1 = 56 × 4 = 224
Case II: 6 engineers and 0 doctors:
8 C 6 × 4 C 0 = 28 × 1 = 28
Total = 224 + 28 = 252 ways
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