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Senior | Next Rank: 100 Posts
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by mariofelixpasku » Mon Oct 22, 2012 11:43 am
There are 15 articles in a box, 5 of which are colored. If 5 articles are selected at random, what is the probability that one of the articles is not colored?
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by vikram4689 » Mon Oct 22, 2012 6:06 pm
"one of the articles is not colored" means 1 non-colored and 4 colored (e.g. NCCCC).

ways of selecting 5 articles = 15!/(10!*5!) = 3003
ways of selecting one non-colored = 10
ways of selecting 4 colored = 5

prob = 5*10/3003 = 50/3003
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by mariofelixpasku » Mon Oct 22, 2012 6:10 pm
same as i thought it had to be. but the solution says 5/36036.
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