We roll five standard dice (sides numbered 1 to 6) and write down the sum of the top three i.e. of the 3 highest values.

What is the probability to get 15 ?

(In reply to

Perhaps.... (comment) by ed bottemiller)

Ed:

....from low to high (11111 to 66666) there are 252 unique combinations, of which 31 total 15 for the three dice with the highest values.....

Ady:

..... there are **6^5** distinct combinations, of which **xxx** total 15 for the three dice with the highest values.....

Now **count them** slowly to get the right xxx,

remember- it is d4 for analytical solution and d2 at most if you let software to **count them**