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    Question

    A committee of 4 people is to be formed from a group of

    10 individuals. If 2 specific individuals refuse to work together, how many different committees can be formed?
    A 120 Correct Answer Incorrect Answer
    B 90 Correct Answer Incorrect Answer
    C 182 Correct Answer Incorrect Answer
    D 70 Correct Answer Incorrect Answer

    Solution

    Total ways without restriction = 10C4 = 210 Ways with both individuals = 8C2 = 28 Valid committees = 210 - 28 = 182

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