A 13-lot lottery game












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A sports lottery game consists of $13$ games. For each game, there are three alternatives: team $A$ wins, team $B$ wins or both teams tie. Who wins the $13$ results. In addition, in each one of the $13$ games, you can make a simple game (mark only one of the three alternatives), or a double game (mark two among the three alternatives) or a triple play (you can mark the three alternatives). Of course you you will pay more if you play a double game and even more if you play a triple game. How many ways to fill the card exist if you only make one game triple and the rest simple games?










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$endgroup$












  • $begingroup$
    What have you tried? Have you tried with two or three games?
    $endgroup$
    – Ross Millikan
    Dec 5 '18 at 1:20
















0












$begingroup$


A sports lottery game consists of $13$ games. For each game, there are three alternatives: team $A$ wins, team $B$ wins or both teams tie. Who wins the $13$ results. In addition, in each one of the $13$ games, you can make a simple game (mark only one of the three alternatives), or a double game (mark two among the three alternatives) or a triple play (you can mark the three alternatives). Of course you you will pay more if you play a double game and even more if you play a triple game. How many ways to fill the card exist if you only make one game triple and the rest simple games?










share|cite|improve this question











$endgroup$












  • $begingroup$
    What have you tried? Have you tried with two or three games?
    $endgroup$
    – Ross Millikan
    Dec 5 '18 at 1:20














0












0








0





$begingroup$


A sports lottery game consists of $13$ games. For each game, there are three alternatives: team $A$ wins, team $B$ wins or both teams tie. Who wins the $13$ results. In addition, in each one of the $13$ games, you can make a simple game (mark only one of the three alternatives), or a double game (mark two among the three alternatives) or a triple play (you can mark the three alternatives). Of course you you will pay more if you play a double game and even more if you play a triple game. How many ways to fill the card exist if you only make one game triple and the rest simple games?










share|cite|improve this question











$endgroup$




A sports lottery game consists of $13$ games. For each game, there are three alternatives: team $A$ wins, team $B$ wins or both teams tie. Who wins the $13$ results. In addition, in each one of the $13$ games, you can make a simple game (mark only one of the three alternatives), or a double game (mark two among the three alternatives) or a triple play (you can mark the three alternatives). Of course you you will pay more if you play a double game and even more if you play a triple game. How many ways to fill the card exist if you only make one game triple and the rest simple games?







combinatorics discrete-mathematics






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share|cite|improve this question













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edited Dec 5 '18 at 7:06









platty

3,370320




3,370320










asked Dec 5 '18 at 1:11









Gabriel AugustoGabriel Augusto

1




1












  • $begingroup$
    What have you tried? Have you tried with two or three games?
    $endgroup$
    – Ross Millikan
    Dec 5 '18 at 1:20


















  • $begingroup$
    What have you tried? Have you tried with two or three games?
    $endgroup$
    – Ross Millikan
    Dec 5 '18 at 1:20
















$begingroup$
What have you tried? Have you tried with two or three games?
$endgroup$
– Ross Millikan
Dec 5 '18 at 1:20




$begingroup$
What have you tried? Have you tried with two or three games?
$endgroup$
– Ross Millikan
Dec 5 '18 at 1:20










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