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Pascal's Triangle

One famous pattern in Pascal's Triangle is that if you toss n coins, the chance of getting m heads is the mth number along in the nth row of Pascal's triangle. In this article, I...
Pascal's Pyramid, or Pascal's tetrahedron is an interesting extension of the ideas from Pascal's Triangle. In this article, I take some of the basic properties of Pascal's triangle...
Of all the patterns and discoveries Blaise Pascal made from examining Pascal's Triangle, it was perhaps its link with probability that made the triangle so interesting to him and...
Pascal's triangle contains a vast range of patterns, including square, triangle and fibonacci numbers, as well as many less well known sequences. In this article, however, I explain...
An interesting extension of the ideas from Pascal's triangle can be found in Pascal's tetrahedron, a three-dimensional version of Pascal's triangle. In this article, I explain how Pasc...
Expanding brackets can be a nightmare; even something like (a+b)^4 can take ages to multiply out and simplify. In this article, I explain how Pascal's Triangle can come to the rescue b...
An interesting property of Pascal's Triangle is that the rows are the powers of 11. I have explained exactly where the powers of 11 can be found, including how to interpret rows wit...
The "Hockey Stick" property and the less well-known Parallelogram property are two characteristics of Pascal's Triangle that are both intruiging but relatively easy to prove. This art...
An amazingly wide range of sequences can be found in Pascal's Triangle. In addition to triangle numbers, tetrahedral numbers, fibonacci numbers and square numbers, cube numbers a...
"n choose r" notation is widely used in combinatorics, the study of the number of ways of doing something there is, and also has a close connection with Pascal's Triangle. In thi...
Golden Triangle† india - is a most popular tour which covers Delhi Agra and Jaipur of Rajasthan. Golden Triangle Tour Package This triangle of three cities perfectly captures the pageantry of India.


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