If 26(2^3/3 ( 12 C2 )+2^5/5 (12 C4 )+2^7/7 (12 C6 )+⋯+2^13/13 (12 C12 ))=3^13-α, then α is equal to

8th April Shift 2, JEE MAIN 2026 B.T. Properties of binomial coefficient If 26(2^3/3 ( ^12 C_2 )+2^5/5 ( ^12 C_4 )+2^7/7 ( ^12 C_6 )+⋯+2^13/13 ( ^12 C_12 ))=3^13-α, then α is equal to : (A) 45 (B) 48 (C) 51 (D) 54 [Answer → C ]