SOLUTION: A track team has 22 total runners. A relay race requires four of the runners. How many different groups of four runners can be chosen to be on the relay team?

Algebra ->  Probability-and-statistics -> SOLUTION: A track team has 22 total runners. A relay race requires four of the runners. How many different groups of four runners can be chosen to be on the relay team?      Log On


   

Question 1181046: A track team has 22 total runners. A relay race
requires four of the runners. How many different
groups of four runners can be chosen to be on the
relay team?
Answer by ikleyn(52777) About Me  (Show Source):
You can put this solution on YOUR website!
.

    C%5B22%5D%5E4 = %2822%2A21%2A20%2A19%29%2F%281%2A2%2A3%2A4%29 = 7315  different groups.    ANSWER

Solved.

-----------------

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
    - 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.