Syarikat Megah Jaya Holding intends to select company representatives for the badminton event tournament which involves several male and female players. For the selection session, every player needs to play exactly one game with every other player. It is found that in 15 games, both the players were women and in 45 games, both players are men. i) How many players are male and female? ii) What is the number of games in which one person was a male and the other person was female? Iii) If they plan to form a group of players consisting of 8 male players and 6 female players how can that be done?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.6: Permutations And Combinations
Problem 4SC
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b) Syarikat Megah Jaya Holding intends to select company representatives for the badminton event tournament which involves several male and female players. For the selection session, every player needs to play exactly one game with every other player. It is found that in 15 games, both the players were women and in 45 games, both players are men. i) How many players are male and female? ii) What is the number of games in which one person was a male and the other person was female? Iii) If they plan to form a group of players consisting of 8 male players and 6 female players how can that be done?
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