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Permutation under Restriction

Eight differe...

Question

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

A

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C

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D

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Solution

The correct option is C
Total words = $8^{4}$ Total words without repetition = $^{8} P_{4}$ Number of words with atleast one letter Repeated $= 8^{4} -^{8} P_{4}$ .

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