How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that 1. repetition of the digits is allowed?

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kavitaKumari · Answer 1 · 2021-06-28T06:02:45+0000

1.

5 ways

Filled by 5 ways

Hence by fundamental principle of counting there are 5 × 5 × 5 = 125 different 3 digit numbers.

2.

3 ways

4 ways

Filled by 5 ways

Hence by fundamental principle of counting there are 5 × 4 × 3 = 60 different 3 digit numbers.