SOLUTION: Eight friends are to make a trip in 2 cars, with 4 people in each car. In how many ways can this be done? a. 1,680 b. 100 c. 70 d. 120

Question 1162451: Eight friends are to make a trip in 2 cars, with 4 people in each car. In how many ways can this be done?
a. 1,680
b. 100
c. 70
d. 120
Answer by ikleyn(52778) (Show Source): You can put this solution on YOUR website!
.


From the context, the order does not matter - - - so, the problem is about COMBINATIONS.


You have a choice of 4 passengers from the group of height to one of the two cars --- after that the set of 
passengers to the other car is defined uniquely (with no choice).


So the ANSWER  is   =  = 70.

Solved.

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

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.

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