Exercises

Fun Class Activities:

1. Find ${8 \choose 3}$.
2. Expand \( (a + b)^3 \).
3. Find the coefficient of \( x^2y^3 \) in \( (x+y)^5 \).
4. There are $11$ candies in $5$ jars. Explain why one jar has at least $3$ candies.
5. There are $13$ people in a room. Explain why at least two of them share a birth month.
6. There are $5$ socks in $2$ drawers. Show that one drawer has at least $3$ socks.