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Combinations/Warcraft

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Combinations/Warcraft [#permalink]

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New post 08 Nov 2008, 05:55
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

i dono how many guys have played the game -- warcraft before, here is an interesting question

in a 4 vs 4 competition, if all team members choose RANDOM when selecting races, how many kinds of races combinations can a team have?
(don't need to consider the order of races, means Orc+NE+HUM+UD and UD+HUM+NE+Orc are the same)

p.s. warcraft is game, which has 4 races, Orc, Night Eve, Human, and Undead. you can choose RANDOM when selecting races, and the chance of being selected in each races is the same.

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Re: Combinations/Warcraft [#permalink]

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New post 08 Nov 2008, 11:31
never played warcraft before, so pardon me ignorance about the rules..Since some of the details are sketchy(IMHO), I'm going to assume a few things
1) for each of those games, you'd need exactly 2 players(1 from Team1 and 1 from Team2)
2) Also, in a team, once a player from a team has chosen to play Orc, then the other 3 can't chose Orc. They have to chose between NE+HUM+UD.

Then, for Team1 the race participation will be 4P1 permutations..which is 4! / 1! = 4x3x2

For Team2 race participation equals same as above 4P1 = 4x3x2

Now total # of combinations across the teams for players to be lined up against their opponents for each of Orc,NE,HUM, UD etc is 24x24 = 576 combinations.

Is that the OA or way off target?
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Re: Combinations/Warcraft [#permalink]

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New post 08 Nov 2008, 18:54
masuhari wrote:
never played warcraft before, so pardon me ignorance about the rules..Since some of the details are sketchy(IMHO), I'm going to assume a few things
1) for each of those games, you'd need exactly 2 players(1 from Team1 and 1 from Team2)
2) Also, in a team, once a player from a team has chosen to play Orc, then the other 3 can't chose Orc. They have to chose between NE+HUM+UD.

Then, for Team1 the race participation will be 4P1 permutations..which is 4! / 1! = 4x3x2

For Team2 race participation equals same as above 4P1 = 4x3x2

Now total # of combinations across the teams for players to be lined up against their opponents for each of Orc,NE,HUM, UD etc is 24x24 = 576 combinations.

Is that the OA or way off target?

ok, let me explain, "4 vs 4" means 2 teams fight together in a competition, with each team has 4 members. now we are considering the possible races combinations of one team. iow, the races combinations of 4 members.
and there is no restriction in choosing races. iwo, you may choose any race no matter what others have chosen.
e.g. one team can be consisted of 4NEs, 3UD+1ORC, or whatever.

also, we DO NOT consider the order of races.
e.g. HUM+HUM+ORC+ORC = ORC+HUM+ORC+HUM

im not sure whether i've explained adequately, feel free to ask

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Re: Combinations/Warcraft   [#permalink] 08 Nov 2008, 18:54
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