Question
From 7 experienced and 4 fresher candidates, a panel of
8 is to be made. How many ways can the panel be formed if it includes at least 6 experienced candidates?Solution
Case I: 6 experienced and 2 freshers
Number of ways = 7C6 Ă— 4C2 = 7 Ă— 6 = 42 ways
Case II: 7 experienced and 1 fresher
Number of ways = 7C7 Ă— 4C1 = 1 Ă— 4 = 4 ways
Total number of ways = 42 + 4 = 46 ways
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