Handshake Count
1. **Problem statement:** If 12 people each shake hands with every other person exactly once, how many handshakes occur in total?
2. **Formula used:** The number of handshakes among $n$ people where each person shakes hands with every other person once is given by the combination formula:
$$\text{Number of handshakes} = \binom{n}{2} = \frac{n(n-1)}{2}$$
This formula counts the number of unique pairs that can be formed from $n$ people.
3. **Applying the formula:** Here, $n=12$.
$$\text{Number of handshakes} = \frac{12 \times (12-1)}{2} = \frac{12 \times 11}{2}$$
4. **Simplify the expression:**
$$\frac{12 \times 11}{2} = 6 \times 11 = 66$$
5. **Conclusion:** There will be **66** handshakes in total when 12 people each shake hands with every other person once.