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Q.

Ten letters of an alphabet are given. Words with five letters are formed by these given letters. Then the number of words which have at least one letter repeated is

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a

69760

b

30240

c

99748

d

none of these

answer is A.

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Detailed Solution

Number of five letter words that can be formed from 10 letters=10×10×10×10×10=105Number of five letter words that have none of their letter repeated=10P5=10×9×8×7×6=30240∴ Number of words which have at least one letter repeated=105−30240=69760
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Ten letters of an alphabet are given. Words with five letters are formed by these given letters. Then the number of words which have at least one letter repeated is