SOLUTION: A project team of 6 students is to be selected from a class of 20 a) How many different teams can be selected? b) How many of the teams would include the oldest and the young

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Question 1196820: A project team of 6 students is to be selected from a class of 20
a) How many different teams can be selected?
b) How many of the teams would include the oldest and the youngest student
Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
.

(a)   =  = 38760 different teams.


(b)   =  = 3060 different teams.

     Because this time we select only 4 from 18: 2 positions are just occupied.

Solved and explained.

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This problem is on COMBINATIONS.

On Combinations,  see introductory lessons
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on 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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