### Home > A2C > Chapter 12 > Lesson 12.4.2 > Problem 12-187

12-187.

Duong noticed that

_{1}*C*_{0}+_{1}*C*_{1}= 2^{1}. He tried_{2}*C*_{0}+_{2}*C*_{1}+_{2}*C*_{2}= 2^{2}and found that it worked also. Homework Help ✎Does

_{3}C_{0}+_{3}C_{1}+_{3}C_{2}+_{3}C_{3}= 2^{3}?Does

_{4}C_{0}+_{4}C_{1}+_{4}C_{2}+_{4}C_{3}+_{4}C_{4}= 2^{4}?Explain why

_{n}C_{0}*+*_{n}C_{1}+_{n}C_{2}+ …+_{n}C_{n}.^{n}

Use your calculator to test the expression.

Yes, it also works.

See part (a).

Any reasonable explanation is acceptable.