Ten different letters of an alphabet are give | vedclass

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(A) Total number of words of $5$ letters that can be formed using $10$ different letters (where repetition is allowed) is $10^5 = 100000$.The number o

Vedclass · Accepted Answer

$69760$

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(A) Total number of words of $5$ letters that can be formed using $10$ different letters (where repetition is allowed) is $10^5 = 100000$.The number of words in which no letter is repeated is given by the permutation formula $^{10}P_5 = 10 	imes 9 	imes 8 	imes 7 	imes 6 = 30240$.The number of words with at least one letter repeated is the total number of words minus the number of words with no repetition.Required number of words $= 100000 - 30240 = 69760$.

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

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