Find the value of . (Notation: denotes choose .)
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4 marks, −1MathematicsCombinatorics and countingBinomial coefficients and counting functionsModerateabout 2 min
DSE 2021 Question 4: Combinatorics and counting
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Find the value of Σᵣ₌₀⁵⁰ C(100, 2r). (Notation: C(a, b) denotes a choose b .) (A) 2⁹⁹ (B) 2¹⁰⁰ (C) 2¹⁰¹ (D) 2⁵¹
Also written as: Find the value of sum_(r=0)^(50) C(100, 2r). (Notation: C(a, b) denotes a choose b .)
Combinatorics and counting has come up 24 times in 5 exams since 2009.
What this question tests
This question is on Binomial coefficients and counting functions, part of Combinatorics and counting in Mathematics.
Binomial expansions and counting maps between finite sets.
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