SOLUTION: A floral arrangement consists of 6 different colored roses, 3 different colored carnations, and 3 different colored daisies. You can choose from 8 different colors of roses, 6 dife

Algebra ->  Probability-and-statistics -> SOLUTION: A floral arrangement consists of 6 different colored roses, 3 different colored carnations, and 3 different colored daisies. You can choose from 8 different colors of roses, 6 dife      Log On


   



Question 1153120: A floral arrangement consists of 6 different colored roses, 3 different colored carnations, and 3 different colored daisies. You can choose from 8 different colors of roses, 6 diferent colors of carnations, and 7 different colors of daisies. How many different arrangements are possible?
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.

All such problems are TWINS:


    You select first 6 from 8 roses;

    You select then 3 from 6 carnations;

    You select, finally, 3 from 7 daisies.


The formula is  


    number = C%5B8%5D%5E6.C%5B6%5D%5E3.C%5B7%5D%5E3 ways


What are these C's and how to calculate them, read from my lessons

---------------

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.