JEE Mains · Maths · STD 11 - 7. binomial theoram
If the coefficient of \(\mathrm{a}^{7} \mathrm{~b}^{8}\) in the expansion of \((a+2 b+4 a b)^{10}\) is \(K \cdot 2^{16}\), then \(K\) is equal .... .
- A \(315\)
- B \(123\)
- C \(745\)
- D \(96\)
Answer & Solution
Correct Answer
(A) \(315\)
Step-by-step Solution
Detailed explanation
\(\frac{10 !}{\alpha ! \beta ! \gamma !} \mathrm{a}^{\alpha}(2 \mathrm{~b})^{\beta} \cdot(4 \mathrm{ab})^{\gamma}\) \(\frac{10 !}{\alpha ! \beta ! \gamma !} \mathrm{a}^{\alpha+\gamma} \cdot \mathrm{b}^{\beta+\gamma} \cdot 2^{\beta} \cdot 4^{\gamma}\)…
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