Maths · Meaning of P(n,r) and C(n,r)
Arrange the following values of in ascending order. }=\mathbf{1 0} \Rightarrow \
Arrange the following values of \( n \) in ascending order. \( \boldsymbol{A}:^{n} \boldsymbol{P}_{5}=^{n} \boldsymbol{P}_{6} \Rightarrow \boldsymbol{n}= \) \( \boldsymbol{B}:^{\boldsymbol{n}} \boldsymbol{P}_{12}=^{\boldsymbol{n}} \boldsymbol{P}_{\boldsymbol{8}} \Rightarrow \boldsymbol{n}= \) \( \boldsymbol{C}:^{n} \boldsymbol{C}_{(\boldsymbol{n}-\mathbf{3})}=\mathbf{1 0} \Rightarrow \boldsymbol{n}= \) \( \boldsymbol{D}:^{(\boldsymbol{n}+1)} \boldsymbol{P}_{5}:^{\boldsymbol{n}} \boldsymbol{P}_{6}=\mathbf{1}: \boldsymbol{2} \Rightarrow \boldsymbol{n}= \)
- A. САВ D
- B. САDВ
- C. АСВD
- D. DBAC
Step-by-step solution
Solve each subproblem: A: nP5 = nP6 ⇒ n=6. B: If nC12 = nC8 (assuming typo, else no solution), then n=20. C: nC(n-3)=10 ⇒ n=5. D: (n+1)P5 : nP6 = 1:2 ⇒ n=9. Ascending order: n=5 (C), 6 (A), 9 (D), 20 (B) → C A D B, which matches option B.