How many different three.digit.numbers can be found using three of the digits 6, 7, 8, 9 only once in each number?
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How many different 3 digit numbers can be found using 3 of the digits 6, 7, 8, 9 only once?

How many lots of 3 digits can you have?

678
679
689
789

4 lots That's it.

But, each 3-digit number can be arranged in 6 different ways, e.g.

678
687
768
786
876
867

So, the number of 3 digit numbers, using 3 of the digits 6, 7, 8, 9 once only, is : 4*6 = 24

 

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