AP EAMCET · Maths · Permutation Combination
\({ }^{29} C_5+\sum_{r=0}^4{ }^{(33-r)} C_4=\)
- A \({ }^{32} \mathrm{C}_4\)
- B \({ }^{35} \mathrm{C}_5\)
- C \({ }^{34} \mathrm{C}_4\)
- D \({ }^{34} \mathrm{C}_5\)
Answer & Solution
Correct Answer
(D) \({ }^{34} \mathrm{C}_5\)
Step-by-step Solution
Detailed explanation
\( \sum_{r=0}^4{ }^{(33-r)} C_4 = { }^{29} C_4 + { }^{30} C_4 + { }^{31} C_4 + { }^{32} C_4 + { }{33} C_4 \) \( = \sum_{k=29}^{33} { }^k C_4 \) \( = { }^{34} C_5 - { }^{29} C_5 \) \( { }^{29} C_5+\sum_{r=0}^4{ }^{(33-r)} C_4 = { }^{29} C_5 + ({ }{34} C_5 - { }{29} C_5) \)…
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