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A club with $x$ members is organized into four committees such that 

  1. each member is in exactly two committees,
  2. any two committees have exactly one member in common .

Then $x$ has 

  1. exactly two values both between $4$ and $8$.
  2. exactly one value and this lies between $4$ and $8$.
  3. exactly two values both between $8$ and $16$.
  4. exactly one value and this lies between $8$ and $16$.
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3 Answers

Best answer
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(B) is ans.

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every two group has exactly 1 member common so no. of common members between each two groups among the  four groups = 4c2 = 6    

these six members are distinct from each other because it is given that each member is in exactly two committees .      so ans is 6.
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–1 votes

The correct answer is 6. Hence, option (B).

Answer:

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