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Number of matches between players under given rules

This type of question, asked 2 times: 2021 Paper 7, 10 Apr 2023. All 2 questions below, oldest first.

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  1. Question 1

    2021 Paper 7

    75
    Team 'A' consists of 7 boys and nn 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 nn is equal to:

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  2. Question 2

    10 Apr 2023

    89
    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