If _ k=1 ^ 31 31 k 31 k-1 - _ k=1 ^ 30 30 k 30 k-1 = (60!) (30!)(31!) , where R, then the value of 16 is...

Question

If _ k=1 ^ 31 31 k 31 k-1 - _ k=1 ^ 30 30 k 30 k-1 = (60!) (30!)(31!) , where R, then the value of 16 is equal to

Accepted Answer

(A)

JEE Main Mathematics question