Q69.An organization awarded 48 medals in event '𝐴', 25 in event '𝐵' and 18 in event '𝐶'. If these medals went to total 60 men and only five men got medals in all the three events, then, how many received medals in exactly two of three events? (1) 15 (2) 21 (3) 10 (4) 9
What This Question Tests
This problem uses the principle of inclusion-exclusion for three sets to determine the number of individuals receiving medals in exactly two events based on given total and individual event counts.
Concepts Tested
Formulas Used
n(A∪B∪C) = n(A)+n(B)+n(C) - (n(A∩B)+n(B∩C)+n(C∩A)) + n(A∩B∩C)
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📋 Question Details
- Chapter
- Sets Relations Functions
- Topic
- Venn diagrams, set theory in problem solving
- Year
- 2023
- Shift
- 11 Apr Shift 1
- Q Number
- Q69
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 1: Sets
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