SOLUTION: Bag gas 19 marbles 3 are purple 10 brown 6 are green how many samples of 5 can be drawn in which 4 are brown

Question 1094148: Bag gas 19 marbles 3 are purple 10 brown 6 are green how many samples of 5 can be drawn in which 4 are brown
Answer by Gentle Phill(18) (Show Source): You can put this solution on YOUR website!
Required possibility (selecting 4 brown) = ?
.
Since 5 marbles are drawn of 19 [3 purple, 10 brown and 6 green]
.
Possible events like to turn up include:
~ 4 browns, 1 purple and 0 green
or
~ 4 browns, 0 purple and 1 green
.
Collecting attributes, we'll've
.
(10C4*3C1*6C0) + (10C4*3C0*6C1)
.
= (210*3*1) + (210*1*6)
= 630+1260
= 1890 possibilities
____________________
.'. 4 browns of 5 selected balls of 19 can occur as many as 1890 times. Thus, 1890 samples are formable.
.
.
.
Your friend,
Francis.
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