Ten different letters of an alphabet are given

Asked by admin @ in Chemistry viewed by 274 People

Ten different letters of an alphabet are given. Words with 5 letters are formed from these given letter. Then, the number of words which have at least one letter repeated is--

A) 69760
B) 30240
C) 99748
D) All of these

Answered by admin @


Total number of words of 5 letter from 10 different letter such that any letter can be repeated any number of time = 10^5

total number of words of 5 letter from 10 different letter such that no letter can be repeated  = 10 *9*8*7*6

now for atleast one letter is repeated = 10^5 - 10 *9*8*7*6

                                                     =69760

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