Binomial Theorem
Sum of Coefficients
IIT-JEE 1988
Grade 11
Question:
If the sum of the coefficients in the expansion of $(x + y)^n$ is 4096, then $n$ equals:
(1) $11$
(2) $12$
(3) $6$
(4) $13$
Step-by-Step Solution
Key Concept: The sum of the coefficients in the expansion of $(x + y)^n$ is obtained simply by putting $x = y = 1$ — equate the resulting power of 2 to 4096 and compare exponents.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: (2)