SOLUTION: Alan packed his orange, white, red, violet, and yellow shirts. Also his brown, black, and blue shorts for a three-day vacation. How many outfits (shirts and shorts) can he wear?

Question 1177945: Alan packed his orange, white, red, violet, and yellow shirts. Also his brown, black, and blue shorts for a three-day vacation. How many outfits (shirts and shorts) can he wear?
Our topic is permutations. I have a hard time answering this question :( It would mean a lot if you could help me so I can understand it. Thank you!
Answer by ikleyn(52798) (Show Source): You can put this solution on YOUR website!
.


The number of all possible outfits is the number of different pairs of colors (shirt,short).


For shirts, you have 5 colors.

For shorts, you have 3 colors.


The number of all possible pairs of colors is  5*3 = 15.


Hence, the number of all possible outfits is 15.      ANSWER

Solved.

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In Math, this method of calculating of outfits is called "Fundamental counting principle".

It works in many typical Combinatorics problems.

See the lesson
- Fundamental counting principle problems
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 lesson is 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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