Permutation and combinations count of members per group

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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

(A) exactly two values both between $4$ and $8$

(B) exactly one value and this lies between $4$ and $8$

(C) exactly two values both between $8$ and $16$

(D) exactly one value and this lies between 8 and 16.

Any hints on how to approach this problem ?