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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? |
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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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