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JEE Main & Advanced Mathematics Permutations and Combinations Question Bank Self Evaluation Test - Permutations and Combinatioins

  • question_answer
    The number of six digit numbers that can be formed from the digits \[1,2,3,4,5,6\] and 7 so that digits do not repeat and the terminal digits are even, is

    A) 144

    B) 72

    C) 288

    D) 720

    Correct Answer: D

    Solution :

    [d] Terminal digits are the first and last digits. \[\therefore \] Terminal digits are even \[\therefore \] 1st place can be filled in 3 ways and last place can be filled in 1 ways and remaining places can be filled in \[^{5}{{P}_{4}}=120\] ways. Hence the number of six digit numbers so that the terminal digits are even, is \[3\times 120\times 2=720\]


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