Concept:Use the set theory formula for two overlapping groups.Explanation:Let x be the number of students who offer both mathematics and physics.Students offering only mathematics: 32−xStudents offering only physics: 24−xStudents offering neither: 4Total students:(32−x)+x+(24−x)+4=40Simplify:60−x=40x=20
Answer:20 students offer both mathematics and physics.Correct option: D. 20