Question

How many positive three digit integers are there such that each digit is an odd number less than 6?

3
6
9
18
27

show work

Answer 1

There are 3 odd numbers less than 6, right?

So to make a 3 digit number that uses only those 3 numbers, you have:

3 options for the first digit
3 options for the second digit
3 options for the third digit

You might be able to picture it as a tree diagram.....

So can you see how many possibilities you end up with?