9th Class Mathematics Permutations and Combinations Question Bank Permutation & Combination

  • question_answer
    How many different words can be formed with the letters of the word NAINITAL such that each of the word begin with L and end with T?

    A) 90       

    B)        80

    C) 88                       

    D)       82

    E) None of these

    Correct Answer: A

    Solution :

    Explanation Option [a] is correct. When L and T are fixed as first and last letters of the word, then we have only 6 letters to be arranged. Hence required number of permutations \[=\frac{6!}{2!\,\times 2!\,\times 2!}=90\]              


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