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    Question

    Amit has 7 friends whom he wishes to invite to a dinner.

    Out of his 7 friends, 1 or more may accept the invitation. In how many different ways can Amit's 7 friends atend the party?
    A 96 Correct Answer Incorrect Answer
    B 112 Correct Answer Incorrect Answer
    C 127 Correct Answer Incorrect Answer
    D 128 Correct Answer Incorrect Answer

    Solution

    There are 7 people he wishes to invite. Every friend has 2 choices either accept or decline the invitation. So, total ways = 2*2*2*2*2*2*2 =27 Now, we know 1 or more may accept the invitation(given). So, no person is coming to part = 1 way. So, required ways = 27 – 1 = 128 – 1 = 127

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