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:
[tex]4^3=4\times4\times4=64[/tex]Hence, the total number that would be made if repeated digits were allowed is 64
