There are students, each taking at least one of English, Hindi, Mathematics. take English, Hindi, Mathematics; take English and Hindi, take Hindi and Mathematics, take English and Mathematics. The number of students who take Mathematics only is ________ (in integer).
1 markMathematicsCombinatorics and countingInclusion-exclusion and complementary countingEasyabout 1 min
IIT JAM 2024 Question 45: Combinatorics and counting
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There are 32 students, each taking at least one of English, Hindi, Mathematics. 16 take English, 8 Hindi, 18 Mathematics; 4 take English and Hindi, 5 take Hindi and Mathematics, 5 take English and Mathematics. The number of students who take Mathematics only is (in integer).
Combinatorics and counting has come up 24 times in 5 exams since 2009.
What this question tests
This question is on Inclusion-exclusion and complementary counting, part of Combinatorics and counting in Mathematics.
Counting by adding and removing overlaps, or by counting what is not wanted.
TestStop has 7 past-paper questions on this subtopic.
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