If ( 1 ^ 15 C_0 + 1 ^ 15 C_1 ) ( 1 ^ 15 C_1 + 1 ^ 15 C_2 ) ( 1 ^ 15 C_ 12 + 1 ^ 15 C_ 13 ) = ^ 13 ^ 14 C_0 ,^...

Question

If ( 1 ^ 15 C_0 + 1 ^ 15 C_1 ) ( 1 ^ 15 C_1 + 1 ^ 15 C_2 ) ( 1 ^ 15 C_ 12 + 1 ^ 15 C_ 13 ) = ^ 13 ^ 14 C_0 ,^ 14 C_1 , ^ 14 C_ 12 , then 30 is equal to _____.

Accepted Answer

32

JEE Main 2026 Mathematics question

Solution