### Home > A2C > Chapter 12 > Lesson 12.4.2 > Problem 12-184

12-184.

**Challenge:** Use the general form for the Binomial Theorem to show that the sum of the elements of the *n*^{th} row of Pascal's Triangle is 2* ^{n} *. Homework Help ✎

*+*

_{n}C_{n}

_{n}C_{n−}_{1}

*+*

_{ }*+ …+*

_{n}C_{n2}

_{n}C_{2}+

_{n}C_{1}+

_{n}C_{0}= 2

^{n}Refer to the Math Notes box in Lesson 12.4.2.

2* ^{n}* = (1 + 1)

*so, substitute 1 for*

^{n}*a*and 1 for

*b*.