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

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**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 = ?

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**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

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