how many 3 digits numbers can be formed from the digits 1,2,3, 4 and 5 assuming that repition of the digit is allowed
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I think infinite
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Since repetition of digits is not allowed we are left with 5 digits to fill up the Tens place. So Tens place can be filled up in 5 ways. Using the same argument we can fill up the Units digit in 4 ways. Hence we can form (6)(5)(4) = 120 numbers of three digits using the digits 1,2,3,4,5,6 without repetition.
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