SOLUTION: A team composed of two grade11 and two grade 10 students is to be sent to a debate contest. If there are 60 grade 10 and 55 grade 11 students, in how many ways can the selection of

Question 1101957: A team composed of two grade11 and two grade 10 students is to be sent to a debate contest. If there are 60 grade 10 and 55 grade 11 students, in how many ways can the selection of students for the contest be done?

Answer by ikleyn(52790) (Show Source): You can put this solution on YOUR website!
.

You can choose two 10-grades from 60 students by   =  = 1770 ways.


You can choose two 11-grades from 55 students by   =  = 1485 ways.


Finally, you have   = 1770*1485 = 2628450 ways to create your team of 4 students.

-----------------
On Combinations, see the 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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