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Pascal's Triangle was developed primarily to illustrate the coefficients of binomial expansions and to provide a systematic way of calculating combinations. Although it is named after Blaise Pascal, the triangle's properties were known in various forms in different cultures long before him, such as in ancient China, India, and Persia. It serves as a valuable tool in combinatorics, algebra, and probability, making it a foundational concept in mathematics. Additionally, it highlights various mathematical patterns, such as Fibonacci numbers and triangular numbers.
What else can I help you with?
Examples of Pascals triangle?
Pascal's triangle
Who first named the triangle pascals triangle?
pascal
What are the multiples of 5 within pascals triangle?
The Sierpinski Triangle
In what situation can we use pascals triangle?
pascals triangle is used to solve math problems that have chance of 2 different outcomes, such as flipping a coin
Why did Blaise Pascal invent pascals triangle?
Pascal didn't invent pascals triangle, he just made It popular. A Chinese mathematician invented it in about 1015.
When was pascals triangle discovered?
in the 11th century...
Who is pascals triangle named after?
Blaise Pascal.
What are the examples of pascals triangle?
(a+b)7
What is the 5th row on pascals triangle?
1,4,6,4,1
What is the answer to 7C3 using pascals triangle?
35
What is another name for pascals triangle?
The expanded binomial is another name for Pascal's triangle.
What is the sum of the numbers in the 5th row of pascals triangle?
depends. If you start Pascals triangle with (1) or (1,1). The fifth row with then either be (1,4,6,4,1) or (1,5,10,10,5,1). The sums of which are respectively 16 and 32.
