SOLUTION: Without repeating any digits, how many 4-digit numbers can be formed from the numbers {1,2,3,4,5,6}, if you only want the result to be even numbers?

Question 1201969: Without repeating any digits, how many 4-digit numbers can be formed from the numbers {1,2,3,4,5,6}, if you only want the result to be even numbers?
Answer by ikleyn(52778) (Show Source): You can put this solution on YOUR website!
.


Last digit (ones digit) must be one of the three possibilities 2, 4, 6.


1st digit can be any of remaining 5 digits;
2nd digit can be any of remaining 4 digits;
3rd digit can be any of remaining 3 digits;


In total, there are 3*5*4*3 = 180 such 4-digit numbers.    ANSWER

Solved.

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Another reasoning is THIS:

Without restriction on parity, 6*5*4*3 = 360 numbers are possible.


Of them, exactly half, 360/2 = 180, are even numbers.

Two solutions for your satisfaction.

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