JEE Mains · Maths · STD 11 - 6. permutation and combination
If for some \(\mathrm{m}, \mathrm{n} ; { }^6 \mathrm{C}_{\mathrm{m}}+2\left({ }^6 \mathrm{C}_{\mathrm{m}+1}\right)+{ }^6 \mathrm{C}_{\mathrm{m}+2}>{ }^8 \mathrm{C}_3\) and \({ }^{n-1} P_3:{ }^n P_4=1: 8\), then \({ }^n P_{m+1}+{ }^{n+1} C_m\) is equal to
- A \(380\)
- B \(376\)
- C \(384\)
- D \(372\)
Answer & Solution
Correct Answer
(D) \(372\)
Step-by-step Solution
Detailed explanation
\({ }^6 \mathrm{C}_{\mathrm{m}}+2\left({ }^6 \mathrm{C}_{\mathrm{m}+1}\right)+{ }^6 \mathrm{C}_{\mathrm{m}+2}>{ }^8 \mathrm{C}_3\) \({ }^7 \mathrm{C}_{\mathrm{m}+1}+{ }^7 \mathrm{C}_{\mathrm{m}+2}>{ }^8 \mathrm{C}_3\) \({ }^8 \mathrm{C}_{\mathrm{m}+2}>{ }^8 \mathrm{C}_3\)…
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