SOLUTION: In how many different ways can a panel of 12 jurors and 2 alternates be chosen from a group of 15 prospective jurors?
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Question 229666: In how many different ways can a panel of 12 jurors and 2 alternates be chosen from a group of 15 prospective jurors?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
There are
)
(15 choose 12) ways to select the 12 jurors. Once the 12 jurors are selected, the pool is reduced to three individuals, so for each of the ways to select the 12 jurors, there are
)
(3 choose 2) ways to select the two alternates, so your total ways is calculated by:
\cdot\left(3\cr 2\right))
Remember:
 = \frac{n!}{k!(n-k)!})
John
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