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) About Me  (Show Source):
You can put this solution on YOUR website!
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(a)  C%5B20%5D%5E6 = %2820%2A19%2A18%2A17%2A16%2A15%29%2F%281%2A2%2A3%2A4%2A5%2A6%29 = 38760 different teams.


(b)  C%5B18%5D%5E4 = %2818%2A17%2A16%2A15%29%2F%281%2A2%2A3%2A4%29 = 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.