Bioinformatics: Data Analysis

A Venn diagram is a widely used diagram style that shows the logical relation between sets, popularized by John Venn in the 1880s. The diagrams are used to teach elementary set theory, and to illustrate simple set relationships in probability, logic, statistics, linguistics and computer science. A Venn diagram uses simple closed curves drawn on a plane to represent sets. Very often, these curves are circles or ellipses. Problem: In a family of enzymes, 15 participate in a type I reaction, 12 in a type II reaction, 5 in both and 8 have no activity in a type I or II. How many total enzymes are in this family? A) 30 B) 27 C) 40 D) 22 E) 35