### 1.

Give an informal description of a group action.

### 2.

Describe the class equation.

### 3.

What are the groups of order $$49\text{?}$$

### 4.

How many switching functions are there with 5 inputs? (Give both a simple expression and the total number as a single integer.)

### 5.

The “Historical Note” mentions the proof of Burnside's Conjecture. How long was the proof?