Using the digits 4, 0 and 5, form all possible 3 digit numbers without repeating the digits. Also, classify them in a multiple of 2 and 3.

Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

Expert Answer:

Digits are: 4, 0, 5

3 digit numbers are: 405, 450, 540, 504

A number is multiple of 2 if its unit place is even.

Therefore, 450, 540 and 504 are multiples of 2.

A number is multiple of 3 if the sum of digits is divisible by 3.

For all the above 3 digit numbers, sum of digits is 9, which is divisible by 3.

Hence all numbers are divisible by 3.

Answered by  | 4th Jun, 2014, 03:23: PM