Class 11

Math

Algebra

Permutations and Combinations

Write all possible 3-digits numbers using the digits $3,1$ and $5.$ Repetition of digits is not allowed.

Keeping 1 at unit's place, 3-digit number obtained are $351$ and $531$

Keeping 3 at unit's place, 3-digit number obtained are $153$ and $513$

Keeping 5 at unit's place, 3-digit number obtained are $315$ and $135.$

Hence, all possible 3-digit numbers are: $315,351,153,135,531,513$