Probability Question 408

Four boys and three girls stand in a queue for an interview, probability that they will be in alternate positions is

[UPSEAT 2001]

Options:

A) $ \frac{1}{34} $

B) $ \frac{1}{35} $

C) $ \frac{1}{17} $

D) $ \frac{1}{68} $

Show Answer

Answer:

Correct Answer: B

Solution:

  •                 Four boys can be arranged in  $ 4\,! $  ways and three girls can be arranged in 3! ways.                     
    

$ \therefore $ The favourable cases $ =4,!,\times ,3,! $ Hence the required probability $ \frac{4,!,\times 3,!}{7,!}=\frac{24\times 6}{5040}=\frac{1}{35} $ .



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