SOLUTION: There are 40 students taking Alg2 next year. I will have 24 kids in 2nd period Alg2 How many different combinations of students could I have in period 2? How would you solve thi

Algebra ->  Permutations -> SOLUTION: There are 40 students taking Alg2 next year. I will have 24 kids in 2nd period Alg2 How many different combinations of students could I have in period 2? How would you solve thi      Log On


   

Question 1158960: There are 40 students taking Alg2 next year. I will have 24 kids in 2nd period Alg2 How many different combinations of students could I have in period 2? How would you solve this problem?
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.

The number of different combinations is the number of combinations of 40 students taken 24 at a time.


This number is  C%5B40%5D%5E24 = 40%21%2F%2824%21%2A16%21%29 = 62852101650.    ANSWER


By the way, this number is of the same order of the magnitude, as the number of stars in our Galaxy, Milky Way.

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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.