SOLUTION: If the grocery store has 15 different kinds of fruit and 10 different kinds of canned soup, in how many ways can Michael choose 2 different kinds of fruit and 3 different kinds of

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Question 1189563: If the grocery store has 15 different kinds of fruit and 10 different kinds of canned soup, in how many ways can Michael choose 2 different kinds of fruit and 3 different kinds of soup to buy?

Answer by ikleyn(52790)   (Show Source): You can put this solution on YOUR website!
.

2 different kinds of fruit:   =  = 105 different ways to select.


3 different kinds of soup:   =  = 120 different ways to select.


Combining fruit and soups purchases:  105*120 = 12600  different ways to combine.    ANSWER

Solved, answered and explained.

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This problem uses two conceptions of Combinatorics: (a) combinations, and (b) the Fundamental counting principle.

To get familiar with these conceptions and to see many other similar and different solved problems of this kind,
look into the lessons
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on Combinations
    - 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 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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