For integers n and r, let n r = cases ^nC_r, & if n r 0 0, & otherwise cases The maximum value of k for which...

Question

For integers n and r, let n r = cases ^nC_r, & if n r 0 0, & otherwise cases The maximum value of k for which the sum _ i=0 ^k 10 i 15 k-i + _ i=0 ^ k+1 12 i 13 k+1-i exists, is equal to _______.

Accepted Answer

12

JEE Main 2021 Mathematics question

Solution