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    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?
    A 145 Correct Answer Incorrect Answer
    B 150 Correct Answer Incorrect Answer
    C 155 Correct Answer Incorrect Answer
    D 160 Correct Answer Incorrect Answer

    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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