SOLUTION: Mr. Santos is randomly choosing 5 students for a team who will compete in a math quiz bee, and there are 9 girls and 8 boys to choose from. What is the probability of having a team

Question 1176094: Mr. Santos is randomly choosing 5 students for a team who will compete in a math quiz bee, and there are 9 girls and 8 boys to choose from. What is the probability of having a team made of 3 girls and 2 boys?
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.


There are   =  = 84 ways to select 3 girls from 9 girls.


There are   =  = 28 ways to select 2 boys from 8  boys.


There are  84*28 ways to combine the team of 5 consisting of 3 girls and 2 boys from 9 girls and 8 boys.


There are   =  = 6188 different ways to select 5 persons from 17 boys and girls.


So the probability under the problem's question is  P =  = 0.38 = 38%.    ANSWER

Solved.

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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.

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