Question

Number of 3 digit odd numbers by using digits 123456

Answer 1

               

1. Without Repetition.

   

Possible digits as those at unit place: 1, 3, 5.

When each among these is taken as at unit place, the other 5 numbers are arranged at tens and hundreds places in 5P2 = 20 ways.

So the answer is 20 × 3 = 60.

2. With repetition.

       

Even when each digits among 1, 3 and 5 are selected as at unit place, the all 6 numbers are arranged at tens and hundreds places in 6² = 36 ways.

So the answer is 36 × 3 = 108.

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