wow if u have this kind of thinking level nobody can stop u !!!!!!!

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

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

Then $x$ has

- exactly two values both between $4$ and $8$
- exactly one value and this lies between $4$ and $8$
- exactly two values both between $8$ and $16$
- exactly one value and this lies between $8$ and $16$

+1 vote

__ Answer: __$\mathbf B$

**Explanation:**

This problem can be converted into the graphical form where each nodes represent a committee and the edges represent the member.

So, this problem reduces to nothing but a complete graph. in which each edge can have exactly two nodes(members) or **two nodes(members) have exactly one edge(committee).**

Hence, $\mathbf B$ is the correct option.

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