Hello Harsh,

4 dices are thrown

then the outcome of the sums can be:

4,5,6,………………14……………..,22,23,24

Mid-point is 14. The left side of the midpoint is a mirror image of the right part.

So let's say the number of ways of getting a 20 is the same as the number of ways of getting an 8

In this case, the number of ways to get the sums are:

4: C(3,0) = 1 (start 1 before the # of throws)

5: C(4,1) = 4

6: C(5,2) = 10

7: C(6,3) = 20

8: C(7,4) = 35

so in this way you can find the sum of at least 13. Finally, the answer will be 861.