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    Question

    There are 20 Bikes in the No-Parking zone. On a

    Particular day, A policeman planned to fine the four bikes of the No-Parking Zone. In how many ways can he plan such that no two of the bikes are next to each other?
    A 2460 Correct Answer Incorrect Answer
    B 2380 Correct Answer Incorrect Answer
    C 7260 Correct Answer Incorrect Answer
    D 5640 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Considering 4 bikes as one, there are 17 Bikes (16 + 1) from which a policeman fines such that no two such bikes are next to each other. This can be done in 17C4 ways = 17!/(4! ×13!) = 2380 ways

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