Question

How many 3-digit even number can be made by using the digit 1,2,3,4,6,7, if no digit is repeated?

Answer 1

Last place is one of 2,4,6 [even number] so it is choose 1 out of 3:
Other 2 places is fill 2 places out of remaining 5 digits [1 already chosen out of a total of 6] so choose 2 out of 5(order being important) so
So total number of ways = x = 3x5x4= 60 ways Answer