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![**Title: Evaluating Combinations and Permutations**
**Objective:**
Learn how to evaluate combinations and permutations using the following examples.
**Problem:**
Evaluate \( ^{11}C_4 \) and \( ^{12}P_3 \).
**Combinations:**
\( ^{11}C_4 = \) [Input Box]
**Permutations:**
\( ^{12}P_3 = \) [Input Box]
**Instructions:**
1. **Combination Formula:**
- \( ^{n}C_r = \frac{n!}{r!(n-r)!} \)
- Apply this formula to evaluate \( ^{11}C_4 \).
2. **Permutation Formula:**
- \( ^{n}P_r = \frac{n!}{(n-r)!} \)
- Apply this formula to evaluate \( ^{12}P_3 \).
3. Enter your answers in the provided input boxes.
Below the boxes, there are three icons: an 'X' for clearing answers, a circular arrow for resetting the problem, and a question mark for help or guidance.
Use these to assist you in solving the problem if necessary.](https://content.bartleby.com/qna-images/question/11aa15ac-70f1-467d-87fe-427c9c2dd80e/3ff29aa1-585e-4f39-8ec7-8c45bbcfa065/zluibc_processed.jpeg)
