If and are two sets such that , and , then is equal to
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4 marks, −1MathematicsCombinatorics and countingInclusion-exclusion and complementary countingEasyabout 1 min
CUET-PG 2021 Question 51: Combinatorics and counting
Answer and worked solution
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Plain-text version
If A and B are two sets such that n(A)=20, n(B)=35 and n(A∪ B)=50, then n(A∩ B) is equal to (A) 6 (B) 5 (C) 15 (D) 4
Also written as: If A and B are two sets such that n(A)=20, n(B)=35 and n(A union B)=50, then n(A intersection B) is equal to
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.
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