SOLUTION: A certain ice cream parlor offers fourteen flavors of ice cream. You want an ice cream cone with three scoops of ice cream, all different flavors. robbyjenns1994@gmail.com I

Algebra ->  Probability-and-statistics -> SOLUTION: A certain ice cream parlor offers fourteen flavors of ice cream. You want an ice cream cone with three scoops of ice cream, all different flavors. robbyjenns1994@gmail.com I      Log On


   



Question 1148002: A certain ice cream parlor offers fourteen flavors of ice cream. You want an ice cream cone with three scoops of ice cream, all different flavors.

robbyjenns1994@gmail.com
In how many ways can you choose a cone if the order of the flavors doesn't matter?
The number of ways to choose a cone, if order doesn't matter, is

Answer by ikleyn(52802) About Me  (Show Source):
You can put this solution on YOUR website!
.

The number of ways to choose a cone, if order doesn't matter, is equal to the number of combinations 

of 14 different items taken 3 at a time


    C%5B14%5D%5E3 = %2814%2A13%2A12%29%2F%281%2A2%2A3%29 = 364.      ANSWER


So, you may have new combination of flavors practically every day in a year . . . 

Solved.

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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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Dear robbyjenns (!)

Your problem has the question

    In how many ways can you choose a cone if the order of the flavors doesn't matter?


It is just enough for us, the tutors, and we fully understand your post.

But then it has one more line

    The number of ways to choose a cone, if order doesn't matter, is


Dear robbyjenns,

may I ask you DO NOT INCLUDE this line and such lines in other yours future posts, in order for we, the tutors, feel our-self comfortably ?

Otherwise I (me) and some other tutors feel our-self as a kind of idiots . . .

Thank you very much for your understanding . . .