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  4. Eight different letters of an alphabet are given. Words of four letters from these are formed. The number of such words with atleast one letter repeated is

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Q. Eight different letters of an alphabet are given. Words of four letters from these are formed. The number of such words with atleast one letter repeated is

Permutations and Combinations

Solution:

Number of $4$ letter words from $8$ different letters with at least one letter is repeated $=8^{4}-\,{}^{8}P_{4}$.