Subject

    Quantitative Aptitude

    Topic

    Permutation & Combination

    How many different words can be formed with the letters of the word ‘M A I M I T A L’ such that each of the word begins with L and ends with T?

    ক)
    78
    খ)
    128
    গ)
    180
    ঘ)
    90
    ঙ)
    None of these

    Explanation

    When L and T are fixed as first and last letters of the word, then we have only 6 letters to arrange. Hence, required number of words  =!6!2×!2×!2=7208=90= {{!6} \over {!2 \times !2 \times !2}} = {{720} \over 8} = 90!2×!2×!2⇒becauseM,AIoccurstwotimes.{!2 × !2 × !2 ⇒ because M, A I occurs two times}.

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