Question

a club with x members is organized into four committees according to the following reles
a) each member belongs to exactly two committees
b)each pair of committees has exactly one member in common then x=?
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Answer 1

Answer:

$\huge \color{green} \boxed{\colorbox{lightgreen}{ANSWER :-)}}$

This problem may be interpreted as a miniature finite geometry of 4 lines and 6 points, so that each pair of lines has only 1 point in common, and each pair of points has only 1 line in common;

or

2) = 4!/2!2! = 6, displayed as follows:

Committees A B C D

a b d f

Members. c e a e

b d f c

The number h is known as the height of the polynomial. It is utilized in proving at the number of polynomials with integer coefficients is a countable infinity, the lowest one in the scale of infinities.