Did Pascal Discover Pascal’s Triangle? Before looking for patterns in Pascal’s triangle, let’s take a minute to talk about what it is and how it came to be.

Pascal's rule tells us that each entry of Pascal's triangle is the sum of the entry to its upper right and its upper left. For example, 4 choose 2 is equal to 3 choose 1 plus 3 choose 2. Here's ...

Pascal's triangle, a simple yet complex mathematical construct, hides some surprising properties related to number theory and probability.

I first encountered Pascal’s triangle on a worksheet my older brother brought home from school when I was in eighth grade. At the time, I was taking geometry (with a teacher who had a cool pair of ...

It is Pascal's Triangle, the pyramid of numbers in which the series in the next line is given by adding together adjacent pairs in the line above to generate 1, 1 1, 1 2 1, 1 3 3 1, 1 4 6 4 1, and ...

Pascal's Triangle is the one where you get the next row in the triangle by adding up two adjacent numbers. Constructing Pascal's Triangle is, in itself, a sort of number game, ...

In the explainer video, material physics professor Jeremy Levy says the link with Pascal’s triangle is the astonishing part of the discovery. Jeremy Levy et al./University of Pittsburgh/Science.

Pascal’s triangle can even make some dreaded high-school algebra a lot easier. If you find yourself in the unfortunate position of having to expand (x+y) to the power of n, ...

Tossing 1 and 2 Coins The first thing we need to do on our quest to discover Pascal’s triangle is figure out how many possible outcomes there are when tossing 1 and 2 coins at the same time.