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    Question

    In how many ways can 12 girls be seated in a row of 50

    seats so that no girl sits on the adjacent seat?
    A 3 Correct Answer Incorrect Answer
    B 2 Correct Answer Incorrect Answer
    C 4 Correct Answer Incorrect Answer
    D 1 Correct Answer Incorrect Answer

    Solution

    There are 49 vacant seats among 50 seats. If no two girls sit together then the total number of seats will be=49-12=37   Hence, the total way of seating 12 girls on 37 seats is =37P12 =37!/25!

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