Posted by **Tony** on Monday, December 4, 2006 at 7:40pm.

How many different three-digit numbers can be written using the digits 4, 5, 6, and 7? Use each digit only once in a number.

Is the answer---24 different 3-digit numbers? I did this the long way--Is there a short equation to use for this?

Thank you!

You have four digits:

The first choice can be any of the 4, there are four ways to get it.

The second choice can be any of three, there are three ways..

and so on.

Answer: 4*3*2

The 3 digit numbers are of the form:

XYZ

For X you have 4 choices. Once you have chosen X you have 3 choices left for Y and then there are 2 choices for Z.

The total number of choices is then 4*3*2 = 24

## Answer this Question

## Related Questions

- math - 8th grade - use the numbers one to nine, each one only once. now multiply...
- math - sophia is making raffle tickets for the schools give away drawing.she ...
- 6 th grade Math - You can find the total number of different 4-digit numbers of ...
- math - The number uses every number 0-9 the numbers are used only once the ...
- math - 8. How many different four digit numbers can be made from the digits 3,8,...
- math - given the digits 0,1,2,3,4,5,6, and 7 find the number of possibilities in...
- Math. Explain - From the digits 1, 2, 3, and 4, how many positive integers are ...
- Math - How many odd four-digit numbers, all of the digit different can be formed...
- 5th grade - How many different four-digit numbers can you make from the digits 1...
- maths - use the digits 8,6,1 &4 once each.Arrange the digits to make a 4- digit ...