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The 'connect The Dots' Math Problem

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Posted by Richard Ruquist on June 18, 2003 12:23:13 UTC

Here is an intersting math problem. I used it for extra credit in my math courses.

Suppose you have N dots.

1. How many unique lines can you make from using all of them 2 at a time?
2. How many planes can you make using them three at a time?
3. How many 3-d objects can you make using them 4 at a time?
4. etc.
M. How many M-d objects can you make using them M at a time?

The idea is the find a formula that the number of objects O to M and N, written as O(M,N)

For example, O(2,N)=N!

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