Question

A three-digit number is to be made using the digits 1, 3, 5, and 8.How many numbers can be made if repeated digits are allowed?

Answer 1

Given: A three-digit number is to be made using 1, 3, 5, and 8

To Determine: How many numbers can be made if repeated digits are allowed

If repeated digits are allowed, we would suggest with replacement.

Then we would have 4 options for the first digit,

4 options for the 2nd digit,

and 4 options for the 3rd digit

This can be represented as:

`4^3=4*4*4=64`

Hence, the total number that would be made if repeated digits were allowed is 64