Mathematics

Dear whomever it may concern,

I am a ninth grader writing a report on Pascal's Triangle, so far your website has helped me very much. When I came across nCr I became confuse to what C stands for. If you could possibly tell me I would appreciate it.

Also if you have any other information or hints to what books I should look at or what websites I should visit I would appreciate it if you would inform me.

Thank you very much

KryssTal Reply: Hello Elyssa. Thank you for reading my page. I'm afraid I don't know what a "ninth grader" is because in England we don't use grades.

The C in the formula stands for COMBINATIONS. There is a similar formula with a P in it (for PERMUTATIONS).

Try looking in the Fun Science Web Ring. For a list of sites click the link below.

Good luck with your project. Tonight I have added a new mathematics essay to my web site. It is about numbers and can be found here:

I discovered this while writing my report . Tell me if this has already been discovered:

As I began to learn about the many patterns in Pascal's triangle I began to explore. While exploring I found a different pattern. I have not come across it while doing my research, yet it may have already been discovered. I have discovered that when you make an interior triangle, where two of the numbers are adjacent to the exterior number ones, much like the one in the figure the two numbers adjacent to the exterior when multiplied equal the third number multiplied by two.

KryssTal Reply: Very interesting!

This looks like a general rule. You are multiplying ⁿC₁ by ^(n-1)C₁ in your first numbers. This gives n and n-1 respectively.

This gives n(n-1).

If you take the third number and multiply it by 2 you get:

2 X ⁿC₂ = 2n! / (n-2)!2! = n(n-1)

So yes, you have discovered something new - be proud!

Wow ... I'm impressed with your work. It's very attractive and there seems to be all sorts of related topics of interest here. Bookmarked!

KryssTal Reply: Thank you very much.

Do you by any chance know the formula to find a square root with out a calculator??

KryssTal Reply: Check out my page below under Binomial Theorem.