For r = 0, 1, ..., 10, let A r , B r and C r denote respectively, the coefficient of x r…
Mathematics · JEE Advanced · NTA Exams — Binomial Theorem And Its Simple Applications
For r = 0, 1, ..., 10, let Ar , Br and Cr denote respectively, the coefficient of xr in the expansions of (1 + x)10, (1 + x)20 and (1 + x)30. Then \(\sum_{r=1}^{10} A_{r}\left(B_{10} B_{r}-C_{10} A_{r}\right)\) is equal to
- B10 – C10
- A10(B210 – C10A10)
- 0
- C10 – B10
Answer
(C) 0
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