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    Question

    A team of 7 researchers is to be formed from 6

    biologists and 4 chemists. Find the number of ways to form the team if it must include at least 5 biologists.
    A 36 Correct Answer Incorrect Answer
    B 38 Correct Answer Incorrect Answer
    C 40 Correct Answer Incorrect Answer
    D 42 Correct Answer Incorrect Answer

    Solution

    Case I: 5 biologists and 2 chemists
    Number of ways = 6C5 × 4C2 = 6 × 6 = 36 ways
    Case II: 6 biologists and 1 chemist
    Number of ways = 6C6 × 4C1 = 1 × 4 = 4 ways
    Total number of ways = 36 + 4 = 40 ways

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