1. **State the problem:** Evaluate the combination expression $11 C 2$. 2. **Formula:** The combination formula is given by $$n C r = \frac{n!}{r!(n-r)!}$$ where $n$ is the total number of items, and $r$ is the number of items chosen. 3. **Apply the formula:** Here, $n=11$ and $r=2$. $$11 C 2 = \frac{11!}{2!(11-2)!} = \frac{11!}{2!9!}$$ 4. **Simplify factorials:** $$\frac{11 \times 10 \times 9!}{2! \times 9!}$$ Cancel $9!$ from numerator and denominator: $$\frac{11 \times 10 \times \cancel{9!}}{2! \times \cancel{9!}}$$ 5. **Calculate denominator:** $$2! = 2 \times 1 = 2$$ 6. **Evaluate the expression:** $$\frac{11 \times 10}{2} = \frac{110}{2} = 55$$ 7. **Conclusion:** The value is an integer. **Final answer:** $$11 C 2 = 55$$