Let S_ 1 = _ j=1 ^ 10 j(j-1) ^ 10 C_ j , S_ 2 = _ j=1 ^ 10 j ^ 10 C_ j and S_ 3 = _ j=1 ^…
Mathematics · JEE Main · NTA Exams — Binomial Theorem And Its Simple Applications
Let \(S_{1}=\sum_{j=1}^{10} j(j-1){ }^{10} C_{j}, S_{2}=\sum_{j=1}^{10} j{ }^{10} C_{j}\) and
\(S_{3}=\sum_{j=1}^{10} j^{2}{ }^{10} C_{j}\)
Statement I : S3 = 55×29.
Statement II : S1 = 90 × 28 and S2 = 10×28.
\(S_{3}=\sum_{j=1}^{10} j^{2}{ }^{10} C_{j}\)
Statement I : S3 = 55×29.
Statement II : S1 = 90 × 28 and S2 = 10×28.
- Statement I is false, Statement II is true
- Statement I is true, Statement II is true;
Statement II is a correct explanation for Statement I - Statement I is true, Statement II is true;
Statement II is not a correct explanation for Statement I - Statement I is true, Statement II is false
Answer
(D) Statement I is true, Statement II is false
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