SATHEE: Permutations And Combinations Question 106

Permutations And Combinations Question 106

Question: If $ ^{10}C _{r}{{=}^{10}}{C _{r+2}} $ , then $ ^{5}C _{r} $ equals [RPET 1996]

Options:

A) 120

B) 10

C) 360

D) 5

Show Answer

Answer:

Correct Answer: D

Solution:

$ ^{10}C _{r}{{=}^{10}}{C _{r+2}}\Rightarrow r+r+2=10\Rightarrow r=4 $

$ \therefore $ $ ^{5}C _{r}{{=}^{5}}C_4=\frac{5\ !}{1\ !\ 4\ !}=5 $ .

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Permutations And Combinations Question 106

Question: If $ ^{10}C _{r}{{=}^{10}}{C _{r+2}} $ , then $ ^{5}C _{r} $ equals [RPET 1996]

Options:

Answer:

Solution:

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