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Binomial Theorem
Binomial Expansion, Coefficients
jee_main_2026_april_4_shift_2
Grade 12

Question:

The coefficient of x^2 in the expansion of (1 + x)^6 is C. If the coefficient of x^3 in the same expansion is D, find C - D.
A. -5
B. -3
C. 0
D. 3

Step-by-Step Solution

Key Concept: Coefficients are C(6, 2) and C(6, 3).
Step 1: C = C(6, 2) = 15. Step 2: D = C(6, 3) = 20. Step 3: C - D = 15 - 20 = -5.
Correct Answer: A
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