### Home > A2C > Chapter 12 > Lesson 12.4.2 > Problem12-184

12-184.

Challenge: Use the general form for the Binomial Theorem to show that the sum of the elements of the nth row of Pascal's Triangle is $2^{n}$ .

$\large{_{n}C_{n} + _{n}C_{n−1}+ _{n}C_{n2} + …+ _{n}C_{2} + _{n}C_{1} + _{n}C_{0} = 2^{n}}$

Refer to the Math Notes box in Lesson 12.4.2.

$2^{n} = \left(1 + 1\right)^{n}$ so, substitute $1$ for $a$ and $1$ for $b$.