If (1 +x) 15 = C 0 + C 1 x+C 2 x 2 +....+ C 15 x 15 , then ^ 15 C _ 0 ^ 2 - ^ 15 C _ 1 ^…
Mathematics · JEE Advanced · NTA Exams — Binomial Theorem And Its Simple Applications
If (1 +x)15 = C0 + C1x+C2x2 +....+ C15x15, then \({ }^{15} \mathrm{C}_{0}^{2}-{ }^{15} \mathrm{C}_{1}^{2}+{ }^{15} \mathrm{C}_{2}^{2}-{ }^{15} \mathrm{C}_{3}^{2}+\ldots{ }^{15} \mathrm{C}_{15}^{2}\) is equal to
- 0
- 1
- –1
- none of these
Answer
(A) 0
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