Question:
If
sumᵣ=0ⁿ+2ⁿCᵣ=2⁸-1,
then n=
If
sumᵣ=0ⁿ+2ⁿCᵣ=2⁸-1,
then n=
Show Hint
Sum of all binomial coefficients equals 2ⁿ.
Updated On: Mar 20, 2026
- 8
- 4
- 6
- 5
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The Correct Option is A
Solution and Explanation
Step 1: Since ⁿCᵣ=0 for r>n, sumᵣ=0ⁿ+2ⁿCᵣ=sumᵣ=0ⁿⁿCᵣ=2ⁿ
Step 2: Given 2ⁿ=2⁸-1⟹ n=8.
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