SOLUTION: How many combinations of 3 numbers are there in 23 numbers, when the order of each group doesn't matter? EX: Group A would be 1,2,3 OR 2,3,1 OR 3,2,1 OR 1,3,2, etc... These woul

Algebra ->  Permutations -> SOLUTION: How many combinations of 3 numbers are there in 23 numbers, when the order of each group doesn't matter? EX: Group A would be 1,2,3 OR 2,3,1 OR 3,2,1 OR 1,3,2, etc... These woul      Log On


   

Question 891919: How many combinations of 3 numbers are there in 23 numbers, when the order of each group doesn't matter?
EX: Group A would be 1,2,3 OR 2,3,1 OR 3,2,1 OR 1,3,2, etc... These would all be considered the same group.
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
That the combinations of 23 things taken 3 at a time.

%2823%2A22%2A21%29%283%2A2%2A1%29 = 1771

Notice that the top and bottom both contain 3 factors.
Each successive factor is one less than the preceding factor.
We begin the numerator with 23 and the denominator with 3.

This is sometimes written as C(23,3), 23C3, or %28matrix%282%2C1%2C23%2C3%29%29

But it means 1771.

Edwin