Evaluate
` C(15,14)`

Answer

To evaluate \( C(15, 14) \), we will use the formula for combinations, which is given by:

\[ C(n, r) = \frac{n!}{r!(n-r)!} \]

### Step-by-step Solution:

1. **Identify the values**: Here, \( n = 15 \) and \( r = 14 \).

2. **Substitute into the formula**:
\[ C(15, 14) = \frac{15!}{14!(15-14)!} \]

3. **Simplify the expression**:
\[ C(15, 14) = \frac{15!}{14! \cdot 1!} \]

4. **Recognize that \( 15! = 15 \times 14! \)**:
\[ C(15, 14) = \frac{15 \times 14!}{14! \cdot 1!} \]

5. **Cancel \( 14! \) in the numerator and denominator**:
\[ C(15, 14) = \frac{15}{1!} \]

6. **Since \( 1! = 1 \)**, we have:
\[ C(15, 14) = 15 \]

### Final Answer:
\[ C(15, 14) = 15 \]