JEE Main · MathematicsEasy

$What is the sum of the binomial coefficients in the expansion of (x + y)^{n} ?$

A. $2^{n}$
B. $2^{n - 1}$
C. $n$
D. $n^{2}$

Show correct answer & step-by-step solution

Correct answer: A — $2^{n}$

Solution

The sum of binomial coefficients is found by setting x = 1 and y = 1 in the expansion of (x + y)^{n} . This results in (1 + 1)^{n}, which equals 2^{n} .

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