JEE Main & Advanced Mathematics Permutations and Combinations Question Bank Definition of permutation, Number of permutations with or without repetition, Conditional permutations

  • question_answer
    If a man and his wife enter in a bus, in which five seats are vacant, then the number of different ways in which they can be seated is [Pb. CET 2004]

    A) 2

    B) 5

    C) 20

    D) 40

    Correct Answer: C

    Solution :

    There are five seats in a bus are vacant. A man sit on any one of 5 seats in 5 ways. After the man is seated, his wife can be seated in any of 4 remaining seats in 4 ways. Hence total number of ways of seating them =\[5\times 4=20\].

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