JEE Main & Advanced Mathematics Permutations and Combinations Question Bank Definition of combinations, Conditional combinations, Division into groups, Derangements

  • question_answer
    How many words of 4 consonants and 3 vowels can be formed  from 6 consonants and 5 vowels [RPET 1985]

    A) 75000

    B) 756000

    C) 75600

    D) None of these

    Correct Answer: B

    Solution :

    Required number of words \[{{=}^{6}}{{C}_{4}}{{\times }^{5}}{{C}_{3}}\times 7\,!\ =756000\] {Selection can be made in \[^{6}{{C}_{4}}{{\times }^{5}}{{C}_{3}}\] while the 7 letters can be arranged in \[7\ !\]}.


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