Combinations in Pascal's Triangle

The combination of the Pascal triangle Pascal triangle is a relatively simple picture, but the patterns found are infinite. Pascal's triangle is formed by adding the nearest two numbers in the previous row and forming the next number in the bottom row. It is said that this one is on line 0. Then you can imagine that the whole triangle is surrounded by zeros. This makes it possible to say that the next row (row 1) is formed by adding 0 + 1 equal to 1 and 1 + 0 equal to 1 to form the next row 1.

Blaise Pascal has contributed to mathematics, physics and philosophy. In mathematics, you may recognize his name in Pascal 's triangle. The number forming the Pascal triangle is a binomial coefficient. Each number is the sum of the two numbers above it. The tip and side of a triangle are one. The number forming the body of the triangle is the sum of the two above. For example, the middle number in the third line is the sum of the two numbers in the second line. Pascal submitted this information in writing in 1653.

Blaise Pascal (1623-1662) is a French mathematician, philosopher, inventor. Pascal studied projective geometry and corresponded to Pierre de Ferma in probability theory. Pascal's triangle is a term introduced when introducing the binomial coefficient in 1653 ("Discussion on Arithmetic Triangle"). Sir Isaac Newton (1642-1726) British scientist. Newton learned mathematics, optics, physics and astronomy. In Principia Mathematica, published in 1687, he founded the foundation of classical mechanics and explained the law of universal gravity and the law of motion. In mathematics, he also developed a method to study the power series, the binomial theorem and approximate the roots of the function.