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10 different letters of an alphabet are ...

10 different letters of an alphabet are given. Words with 5 letters are formed from these given letters then the numbers of words which have atleast one letter represent is:

Text Solution

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Total possible ways=`10^5`
Atleast one letter repeat=total number of letter repeat
`=10^5-.^10C_5*5!`
`=100000-(10*9*8*7*6*5!)/(5!5!)*5!`
`=100000-30240`
`=169760`
Option 1 is correct.
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