Monday, May 26, 2014

How many 4 digits codes are possible using the numbers 0 -9 only once?

The codes have to be prepared using the numbers 0-9 and are 4
digit long. Also, each of the numbers can be used only once


We have
10 choices for the first digit.


As there are no repetitions, there
are 9 choices for the second digit, 8 choices for the third digit and 7 choices for the fourth
digit.


In all, the number of codes that can be created are 10*9*8*7
= 5040


The number of 4 digit codes possible using the
numbers 0-9 only once is 5040.

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