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    Question

    A team of 10 members is to be formed from 9 engineers and 6

    doctors. Find the number of ways the team can be formed with at least 8 engineers.
    A 135 Correct Answer Incorrect Answer
    B 138 Correct Answer Incorrect Answer
    C 141 Correct Answer Incorrect Answer
    D 144 Correct Answer Incorrect Answer
    E 150 Correct Answer Incorrect Answer

    Solution

    Case I: 8 engineers and 2 doctors
    Number of ways = 9C8 ├Ч 6C2 = 9 ├Ч 15 = 135 ways
    Case II: 9 engineers and 1 doctor
    Number of ways = 9C9 ├Ч 6C1 = 1 ├Ч 6 = 6 ways
    Total number of ways = 135 + 6 = 141 ways

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