# Problem of the month

• September 29th 2008, 05:36 AM
MATHMATHmathmathMathMath
Problem of the month
How many planes would by formed by n non-collinear and non-coplanar points?
• September 29th 2008, 09:07 AM
TwistedOne151
Binomial
Since three non-collinear points define a plane, this is just the number of cominations of three points we can choose from the n, which is $\binom{n}{3}=\frac{n!}{3!(n-3)!}=\frac{n(n-1)(n-2)}{6}$.

-Kevin C.