Problem Solving Posters - Project Maths
Problem Solving Posters - Project Maths
Problem Solving Posters - Project Maths
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There will be 7 players playing in aQtournament. Each player must play everyother player once. How many games willtake place in the tournament?Simplify the<strong>Problem</strong>Case 1: The 2nd person plays the 1st i.e. 1 gameCase 2: The 3rd person plays the 1st and 2nd i.e. 2 gamesCase 3: The 4th person plays the 1st, 2nd and 3rd i.e. 3 gamesCase 4: The 5th person plays the 1st, 2nd, 3rd and 4th i.e. 4 gamesThe total number of games for 5 people = 1+2+3+4 = 10 gamesTherefore, for 6 people, it would be 10+5 = 15 gamesand for 7 people, it would be 15+6 = 21 gamesDraw a Table1 game2 games3 games4 games5 games6 games1stperson2ndperson3rdperson4thperson5thperson6thperson7thperson1stperson2ndperson3rdperson4thperson5thperson✖ ✖ ✖ ✖✖ ✖ ✖✖ ✖✖6thperson7thperson✖ ✖✖ ✖✖ ✖✖ ✖✖ ✖✖1+2+3+4+5+6=21 gamesCan you think of another way to solve this problem?