AP EAMCET · Maths · Binomial Theorem
The value of \({ }^{34} C_5+\sum_{i=0}^4(38-i) C_4\) is
- A \({ }^{39} C_4\)
- B \({ }^{39} C_5\)
- C \({ }^{38} C_5\)
- D \({ }^{38} C_4\)
Answer & Solution
Correct Answer
(B) \({ }^{39} C_5\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { We have } 34_{\mathrm{C}_5}+\sum_{\mathrm{i}=0}^4(38-\mathrm{i})_{\mathrm{C}_4} \\ & \Rightarrow 34_{\mathrm{C}_5}+38_{\mathrm{C}_4}+37_{\mathrm{C}_4}+36_{\mathrm{C}_4}+35_{\mathrm{C}_4}+34_{\mathrm{C}_4} \\ &…
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