Q63.Team ′A′ consists of 7 boys and n girls and Team ′B′ has 4 boys and 6 girls. If a total of 52 single matches can be arranged between these two teams when a boy plays against a boy and a girl plays against a girl, then n is equal to: (1) 5 (2) 2 (3) 4 (4) 6
What This Question Tests
This question tests the application of combinations to count the number of possible single matches between two teams, considering boys playing boys and girls playing girls, and then solving for an unknown variable 'n'.
Concepts Tested
Formulas Used
Number of ways to choose k items from n = nCk
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Permutation & Combination
- Topic
- Combinations for matches
- Year
- 2021
- Shift
- 17 Mar Shift 1
- Q Number
- Q63
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 7: Permutations and Combinations
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