Question

How many 3-digit number can be done from the digits 1,2,3,4,5, and 6 which is even and repeating is not allowed.

Answer 1

forget all that!! I must be tired

Answer 2

the 3 digit numbers must end in 2, 4 or 6
for each of these numbers another 2 numbers are required from the remaining 5

Answer 3

so for the numbers ending in 2 there are 5C2 combinations
and the same for those ending in 4 and 6

Answer 4

so the total number of 3 digit numbers is
3 * 5C2

Answer 5

5C2 = (5*4) / (2*1) = 10

Answer 6

required total = 30

Answer 7

im having a bad day = that's wrong again - the order of the first 2 numbers matters so its not 5C2 but 5P2
which equals 5*4 = 20

so correct answer is 3*20 = 60