Question
From 7 artists and 6 designers, a team of 9 members is
to be selected. In how many ways can this team be formed if it includes at least 6 artists?Solution
Case I: 6 artists and 3 designers
Number of ways = 7C6 × 6C3 = 7 × 20 = 140 ways
Case II: 7 artists and 2 designers
Number of ways = 7C7 × 6C2 = 1 × 15 = 15 ways
Total number of ways = 140 + 15 = 155 ways
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