Three digits number

From the numbers 1, 2, 3, 4, 5 create three-digit numbers that digits not repeat and number is divisible by 2. How many numbers are there?

Correct result:

n =  24

Solution:

  n3…2,4 n3=2 n2…1,2,3,4,5∩n3 n2=5−1=4  n1….1,2,3,4,5∩n2∩n3 n1=n2−1=4−1=3  n=n1⋅ n2⋅ n3=3⋅ 4⋅ 2=24

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