How can i find all of the numbers in a certain row of pascals triangle, for this example lets say the 11th row, without having to draw out the entire triangle?
In: Mathematics
Each layer of pascals triangle maps to coefficients of the basic binomial expansion. The coefficients of (x + y)^ n is the same as the nth layer of pascals triangle.
Example:
(x + y)³ is 1x³ + 3x²y + 3xy² + 1y³. The third layer of pascals triangle is 1, 3, 3, 1
Edit: There are methods that let you quickly work out the coefficients of any binomial expansion. The rated answer [here](https://math.stackexchange.com/questions/508085/binomial-expansion-how-to-do-them-quickly) has one such method
Latest Answers