SOLUTION: Lina has three pairs of boots. They are leather, rain, and hiking boots. If she reaches into her closet to get two boots out at a time, what are all of the possible combinations?

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Question 1153007: Lina has three pairs of boots. They are leather, rain, and hiking boots. If she reaches into her closet to get two boots out at a time, what are all of the possible combinations?
Answer by ikleyn(52797)   (Show Source): You can put this solution on YOUR website!
.

There are 2*3 = 6 items (boots) in the closet. I multiplied 3 by 2, because each pair has two boots.


The number of combinations of 6 items taken 2 at a time is   =  = 3*5 = 15.    ANSWER.

Solved/answered explained/completed.

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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
    - 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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