Illinois State University Mathematics Department
MAT 305: Combinatorics Topics for K8 Teachers 
Review: Binomial & Multinomial Expansions 
Here are several problems to help review our discussion of the binomial and multinomial expansions. Click on the highlighted word to take you to a possible solution or hint for that problem.






Possible Solutions to Review Problems
1. r^3+3r^2s+3rs^2+s^3
2. 4^7m^73(4^6)m^6t+9(4^5)m^5t^2
3. 19
4. No. Its exponents do not sum to 12.
5. [8!/(2!4!1!1!)](a^2b^4cd)
6. Example: How many different arrangements are
there for the letters in the nonsense word aabbbbccc?