Subject

    মানসিক দক্ষতা

    Topic

    বানান ও ভাষা

    A palindrome is a word which is similar if read from backwards. Eg ‘ARORA’. Find the number of such 5 letter palindromes.

    ক)
    676
    খ)
    17576
    গ)
    456976
    ঘ)
    30522

    Explanation

    The first letter can be chosen in 26 ways. Similarly, second letter can be chosen in 26 ways. Hence, the first 2 letters can be chosen in 26 × 26 ways. Also, the third letter can be chosen in 26 ways. Hence, the first 3 letters can be chosen in 26 × 26 × 26 ways. But the fourth letter should be similar to second letter. This can be done in just 1 way. Similarly, fifth letter should be similar to first letter. This can be done only in 1 way. Hence, number of words possible = 26 × 26 × 26 × 1 × 1 = 17576

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