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Question

Ten different letters of alphabet are given. Words with four letters are formed from these letters, then the number of words which have at least one letter repeated is -

A
104
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B
10P4
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C
10C4
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D
4960
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Solution

The correct option is D 4960
We have to form words with 4 letters from 10 letters.
Given, repetition is allowed.
So, total number of words = 10×10×10×10=104
Number of words without repetition=10×9×8×7=5040
Number of word with at least one letter repeated=100005040=4960

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