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MathsHardNumerical2023 ยท 10 Apr Shift 1

Q83.Some couples participated in a mixed doubles badminton tournament. If the number of matches played, so that no couple played in a match, is 840, then the total numbers of persons, who participated in the tournament, is ________.

What This Question Tests

This question involves a complex counting problem in combinations and permutations, requiring careful consideration of constraints (no couple playing together) in forming pairs for a match.

Concepts Tested

CombinationsConditional probability/countingArrangement of selected items

Formulas Used

nCr = n! / (r! * (n-r)!)

nPr = n! / (n-r)!

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๐Ÿ“‹ Question Details

Chapter
Permutation & Combination
Topic
Combinations and permutations with constraints
Year
2023
Shift
10 Apr Shift 1
Q Number
Q83
Type
Numerical
NCERT Ref
Class 11 Mathematics Ch 7: Permutation and Combination

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