The sum of the coefficients in the expansion of (1 + x)⁵ is (a) 5?
- 32
- 25
- 16
- None of these
Explanation
The expansion of (1 + x)⁵ can be found using the Binomial Theorem.
(1 + x)⁵ = 1 + 5x + 10x² + 10x³ + 5x⁴ + x⁵
Sum of coefficients = 1 + 5 + 10 + 10 + 5 + 1 = 32
Alternatively, we can find the sum by substituting x = 1:
(1 + 1)⁵ = 2⁵ = 32
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