# How many five-digit numbers can be formed using the digits 0, 1, 2, 3, 4 5, 6, 7, 8, 9, if repetitions of digits are allowed?

##### 1 Answer

Aug 8, 2017

100,000

#### Explanation:

We can use any of 10 digits to fill the places in a 5-digit number.

The first place can be any of 10 digits.

The second place can also be any of 10 digits.

As can the third. And so on.

And so we have:

And this makes sense since we can make numbers 00,000 through 99,999.