SOLUTION: How many subsets of {0,2,4,6,8,10} have three elements?

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Question 1075363: How many subsets of {0,2,4,6,8,10} have three elements?
Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
20.
it is the number of ways to choose 3 objects from 6, or 6C3 or 6!/3!3!=6*5*4*3!/3!*6

Answer by ikleyn(52754) About Me  (Show Source):
You can put this solution on YOUR website!
.
= the number of combination of 6 objects taken 3 at a time = C%5B6%5D%5E3 = %286%21%29%2F%283%21%2A3%21%29 = %286%2A5%2A4%29%2F%281%2A2%2A3%29 = 5*4 = 20.


On Combinations see the 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".