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In the single-elimination NCAA Tournament, 64 teams compete in 6 bracketed rounds. How many games are there in total?     

 

64 teams would play 32 games ——>  32 teams go home, 32 teams play again     

32 teams would play 16 games ——>  16 teams go home, 16 teams play again     

16 teams would play   8 games ——>    8 teams go home,   8 teams play again     

  8 teams would play   4 games ——>    4 teams go home,   4 teams play again     

  4 teams would play   2 games ——>    2 teams go home,   2 teams play again      

  2 teams would play   1 game   ——>    1 team goes home, 1 team takes the trophy home     

                                   –––––––     

add up all games       63 games      

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