I have 3 bags, all which contains the numbers 1-5 inclusive.

What is the probability that, after choosing 2 numbers from each bag, the sum of all numbers is more than 26? The first number is NOT returned to it's respective bag before the 2nd number is drawn.

I can work out the total number of combinations by doing 3 * nCr(5,2) which equals 30 possible combinations, but I want to know how many of those combinations sums is above 26.

Thanks in advance.