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# There are ten glasses: 5 red, 3 blue and 2 green. Two

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Manager
Joined: 24 Jun 2003
Posts: 91
Location: Moscow
Followers: 1

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There are ten glasses: 5 red, 3 blue and 2 green. Two [#permalink]  19 Aug 2003, 09:50
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There are ten glasses: 5 red, 3 blue and 2 green. Two glasses are taken without repetition. How many combinations are there, so that both glasses are of different color.
Manager
Joined: 10 Jun 2003
Posts: 210
Location: Maryland
Followers: 2

Kudos [?]: 4 [0], given: 0

??? [#permalink]  19 Aug 2003, 10:00
Total Combinations = 10C2 = 45
Both Red = 5C2 = 10
Both Blue = 3C2 = 3
Both Green = 2C2 = 1

45 - 10 - 3 - 1 = 31
Manager
Joined: 14 Aug 2003
Posts: 88
Location: barcelona
Followers: 1

Kudos [?]: 0 [0], given: 0

another way would be:
5c1*3c1+3c1*2c1+5c1*2c1=15+6+10=31
cheers, j
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