SOLUTION: A pizza parlor offers a choice of 12 different toppings. How many 3-topping pizzas are possible? (no double-orders of toppings are allowed) In this situation, does the order of

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Question 1195698: A pizza parlor offers a choice of 12 different toppings. How many 3-topping pizzas are possible? (no double-orders of toppings are allowed)
In this situation, does the order of the toppings matter? Input yes or no.

There are
possible 3-topping pizzas.
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.

In this problem, the order of toppings does not matter.


    C%5B12%5D%5E3 = %2812%2A11%2A10%29%2F%281%2A2%2A3%29 = 220 different combinations of toppings are possible under imposed conditions.    ANSWER

Solved.

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Since the order of topings does not matter,  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
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.