SOLUTION: 9 freshmen, 6 sophomores, 10 juniors, and 8 seniors are eligible to be on a committee. If a committee of 14 students is chosen at random, what is the probability that it is made up

Question 1153110: 9 freshmen, 6 sophomores, 10 juniors, and 8 seniors are eligible to be on a committee. If a committee of 14 students is chosen at random, what is the probability that it is made up of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors?
Round your answer to 6 decimal places as needed.
Found 2 solutions by ikleyn, VFBundy:
Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
.

First, notice that 2+3+4+5 = 14 and 9+6+10+8 = 33. Now use the formula P = .

Happy calculations (!)

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In the formula, is the number of combinations of "n" items taken "k" at a time.

On Combinations, see introductory lessons
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on Combinations
    - OVERVIEW of lessons on Permutations and Combinations
in this site.

Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Combinatorics: Combinations and permutations".

Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.

Answer by VFBundy(438)   (Show Source): You can put this solution on YOUR website!

=

=

=

= 0.010341
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