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    Question

    A committee of 5 members is to be selected from 4 girls and

    6 boys. Find the number of ways to form team such that the team consists of at most 2 girls.
    A 180 Correct Answer Incorrect Answer
    B 186 Correct Answer Incorrect Answer
    C 210 Correct Answer Incorrect Answer
    D 176 Correct Answer Incorrect Answer
    E 192 Correct Answer Incorrect Answer

    Solution

    Required number of ways = 4C2 × 6C3 + 4C1 × 6C4 + 6C5
    = 6 × 20 + 4 × 15 + 6
    = 120 + 60 + 6 = 186

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