Chapter 8.4, Problem 121E

To determine

To explain:row of Pascal’s Triangle in Binomial Theorem and 8^th row of the Pascal’s triangle.

Explanation of Solution

Pascal’s triangle:

  

The n^th row of Pascal’s triangle gives the coefficients of ${\left(x+y\right)}^n$ .

So, its obvious that the coefficients from the Binomial Theorem can be used to find the numbers in Pascal’s Triangle

Now, 8^th row of Pascal’s triangle gives the coefficient of ${\left(x+y\right)}^8$ .

That is 1, 8, 28, 56, 70, 56, 28, 8, and 1.