Chapter 8.4, Problem 117E

To determine

To check: Whether the statement is True or False.

Answer to Problem 117E

The statement is True.

Explanation of Solution

Given information: The binomial theorem can be used to produce each row of Pascal’s triangle.

Calculation:

The numbers in Pascal’s triangle is precisely the same numbers as the coefficients of binomial expansion. The top row or zeroth row of Pascal’s triangle corresponds to the coefficient of the binomial expansion of ${(x+y)}^0$ , similarly the next row called the first row is the coefficients of the binomial expansions of ${(x+y)}^1$ and So on. That is, the binomial theorem can be used to produce each row of Pascal’s triangle.

So, the statement is True.