Question
If the sum of the coefficients in the expansion of (x+y)^n is 1024 , then the value of the greatest coefficient in the expansion is
BITSAT
Mathematics
Binomial Theorem
2022
BITSAT 2022
BITSAT Mathematics Question (2022) — Solution
Options
- A. 356
- B. 252
- C. 210
- D. 120
Answer
B. 252
Step-by-step solution
Given, sum of the coefficient =1024 array ll i.e. & 2^n=1024=2^ 10 \\ & n=10 array Since, n is even, so greatest coefficient = ^n C_ n / 2 = ^ 10 C_5=252
Related: Mathematics — Binomial Theorem · All PYQ Banks