The total number of terms in the expansion of (a + b + c + d) n , n N is

Mathematics · JEE Advanced · NTA Exams — Binomial Theorem And Its Simple Applications

1. \(\frac{\mathrm{n}(\mathrm{n}+1)(\mathrm{n}+2)}{6}\)
2. \(\frac{\mathrm{n}(\mathrm{n}+1)(\mathrm{n}+2)(\mathrm{n}+3)}{6}\)
3. \(\frac{(\mathrm{n}+1)(\mathrm{n}+2)(\mathrm{n}+3)}{6}\)
4. none of these

Answer

(C) ( n +1)( n +2)( n +3) 6

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