Describe the diagram

Answer:
The diagram reprents the 3 sets and the universal set . The shaded portion clearly can be seen as :
[tex]A \cap B \cap C + A - (A \cap B) - (A \cap C) + A \cap B \cap C + C - (C \cap B) - ( C \cap A) + (A \cap B \cap C)[/tex]
Shaded region = [tex]3(A \cap B \cap C) + A + C - (A \cap B) - 2(A \cap C) - (C \cap B)[/tex]
Try to understand some what complex
Answer:
The diagram represents 3 sets assuming they refer to 3 activities A, B and C.
The shaded point on A shows those engage in activities A only.
The shaded point on B shows those engage in activities B only.
The shaded point on C shows those engage in activities C only.
Incidentally the numbers of people engage in activities A only and B only are the same number.
The colour grade for the following is the same with that engage in only activity B;
The intersection of A and B
The intersection of B and C
The intersection of A and C
Therefore it means the numerical value is the same with that of B only;
A n B= B n C = A n C = n( B only); n on the right represent intersection and on the left number.
A n B n C = no of people engaged in all 3 activities.
A n B n C = n( A only) = n( B only) ;
From the colour grade
Note: n on the right represent intersection and on the left