Posted by **Anonymous** on Thursday, November 17, 2011 at 10:47pm.

How many different 3 digit numbers less than 500 can be made using the digits 3, 4, 5, and 6 if the digits can be used only once

- math -
**MathMate**, Thursday, November 17, 2011 at 11:01pm
Number of choices for the first digit = 4

Since there cannot be repetitions,

Number of choices for the second digit = 3

similarly,

Number of choices for the third digit = 2

By the multiplication principle, the number of different 3-digit numbers with distinct digits that can be made from 4

= 4*3*2 = ?

- math -
**Steve**, Friday, November 18, 2011 at 12:56pm
However, not all of those numbers are less than 500.

choices for 1st digit: 2 (3 or 4)

choices for 2nd digit: 3

choices for 3rd digit: 2

so, there are really only 12 possible numbers less than 500

## Answer this Question

## Related Questions

- math - using digits 1-9 only once, multiply a 3 digit by a 2 digit number and ...
- Math - How many 3 digit numbers can be made using the following digits only once...
- Math - Using only the digits 2,3,5 and 7 complete the following problems below. ...
- math - 8. How many different four digit numbers can be made from the digits 3,8,...
- Math - If no digit may be used more than once, how many 5 digit numbers can be ...
- 5th grade - How many different four-digit numbers can you make from the digits 1...
- math help - How many different two- digit numbers can be formed using each of ...
- Math - How many different three-digit numbers can be written using the digits 4...
- math - Any of the ten digits 0 through 9 may be used in a 6-digit code, but no ...
- Math - 1. JUGGLING NUMBERS From old newspapers cut out digits 0 to 9 and stick ...

More Related Questions