What is the history behind Pascal triangle?
Pascal’s triangle was known in China in the early 11th century through the work of the Chinese mathematician Jia Xian (1010–1070). In the 13th century, Yang Hui (1238–1298) presented the triangle and hence it is still called Yang Hui’s triangle (杨辉三角; 楊輝三角) in China.
Why was Pascals triangle named after Blaise Pascal?
Pascal’s Triangle is a special triangular arrangement of numbers used in many areas of mathematics. It is named after the famous 17 th century French mathematician Blaise Pascal because he developed so many of the triangle’s properties.
What is the significance of Pascal’s triangle?
What is this triangle useful for? Due to the way numbers are arranged, it is possible to find several properties among them. Those properties are useful in some mathematical calculations and they were used in ancient times to calculate the square or cubic roots, or more recently in the rule of probabilities.
How is Pascal’s triangle used in real life?
One real life situation that Pascal’s Triangle is used for is Probability, and combinations. We have situations like this all of the time. For example, say you are at an ice cream shop and they have 5 different ice creams. You want to know how many different ways you can pick two of the ice creams and eat them.
What jobs use Pascal’s triangle?
Today, pascal”s triangle is generally used by designers in order to get complex and precise calculations in many aspects of math, but mainly used in algebra and probability. Jobs that often use the triangle would be architects, graphic designers, finance, mapping, etc.
What is the rule for Pascal’s triangle?
Pascal’s triangle (named for the mathematician Blaise Pascal, 1623–1662) is an infinite triangular arrangement of numbers, constructed according to the following two rules: 1. The first and last entry in each row is 1; 2. Each other entry is the sum of the two entries directly above it.
Where is Pascal’s Triangle used?
probability theory
Pascal’s triangle is used widely in probability theory, combinatorics, and algebra. Generally, we can use Pascals’ triangle to find the coefficients of binomial expansion, to find the probability of heads and tails in a toss, in combinations of certain things, etc.
Where was the triangle invented?
History. The triangle evolved from the Egyptian sistrum and, like its predecessor, the triangle was largely used for religious purposes. These earlier triangles often had three jingles strung upon the lower bar producing a continuous jingle when struck.
How does Pascal’s triangle apply to real life?
How is Pascal’s triangle used in the real world?
For instance, when we have a group of a certain size, let’s say 10, and we’re looking to pick some number, say 4, we can use Pascal’s Triangle to find the number of ways we can pick unique groups of 4 (in this case it’s 210).
Who invented the triangle?
Pascal’s triangle was invented by Blaise Pascal (1623-1662) in 1653. Although it has been named after blaise pascal, there have been traces of the triangle, long before Blaise Pascal was born.