Given below are two statements. STATEMENT - 1: The total number of dissimilar terms in…
Mathematics · JEE Main · NTA Exams — Binomial Theorem And Its Simple Applications
STATEMENT - 1: The total number of dissimilar terms in the expansion of \(\left(\mathbf{x}_{1}+\mathbf{x}_{2}+\ldots \ldots+\mathbf{x}_{n}\right)^{3}\) is \(\frac{n(n+1)(n+2)}{6}\)
STATEMENT - 2: The total number of dissimilar terms in the expansion of \(\left(x_{1}+x_{2}+x_{3}\right)^{n}\) is \(\frac{n(n+1)(n+2)}{6}\)
In the light of the above statements, choose the correct answer from the options given below:
- Both the statements are true and Statement - 2 is the correct explanation of Statement - 1
- Both the Statements are true and Statement - 2 is not the correct explanation of Statement - 1
- Statement - 1 is true and Statement - 2 is false
- Statement - 1 is false and Statement - 2 is true
Answer
(D) Statement - 1 is false and Statement - 2 is true
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