1.

Find all 3 digit numbers formed with the digits 1,2,3,4 and 5 if (i) repetition of digits is allowed? (ii) repetition of digits is not allowed?

Answer» (i) When repetition of digits is allowed:
No. of ways of selecting 1st digit = 5
No. of ways of selecting 2nd digit = 5
No. of ways of selecting 3rd digit = 5
`:.` Total no of ways `= 5 xx 5 xx 5 = 125`
(ii) When repetition of digits is not allowed.
No. of ways of selecting 1st digit = 5
No. of ways of selecting 2nd digit = 4 No. of ways of selecting 3rd digit = 3
`:.` Total number of ways `= 5 xx 4 xx 3 = 60`


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