Five Digits Divisibility

Probability Level pending

Using each of the digits 1, 2, 3, 4, and 5 exactly once to form 5-digit numbers, how many are divisible by 12?


The answer is 24.

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1 solution

Rohit Sachdeva
Aug 27, 2014

Any number formed is divisible by 3 as sum of digits=1+2+3+4+5=15 is divisible by 3.

Any number ending with 12, 24, 32, 52 is divisible by 4.

Which makes a total of 3! x 4=24 numbers divisible by 12

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