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Binomial Theorem
Binomial Expansion, Coefficients
jee_main_2026_april_5_shift_1
Grade 12

Question:

The coefficient of x³ in the expansion of (1 + x)^8 is C. Find the coefficient of x⁵ in the same expansion.
A. 28
B. 35
C. 56
D. 70

Step-by-Step Solution

Key Concept: Coefficient of xʳ in (1+x)^n is C(n, r).
Step 1: C(8, 3) = 56. Step 2: C(8, 5) = C(8, 3) = 56.
Correct Answer: C
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