To understand inclination of students towards various subjects, three students are asked to give their preference for three subjects: Mathematics, Science and History. Each student either preferred or did not prefer each subject. Two students selected History, one student selected Science, two students selected Mathematics. Student 1 does not select Mathematics and Science. Student 2 selects subjects except Science. Student 3 does not select History. Which of the following statements is false?
Correct answer: A
Explanation
From the same deduction, the final allotment is Student 1 = History, Student 2 = Maths and History, Student 3 = Science and Maths. Student 1 never takes Mathematics, so the claim that Students 1 and 2 both selected Mathematics is false. Options (b), (c) and (d) all match the valid allotment and are true.