What is the last entry of any row of pascle's triangle?

Answer

To find the last entry of any row of Pascal's triangle, we can analyze the structure of the triangle itself. Here's a step-by-step solution:

### Step-by-Step Solution:

1. **Understanding Pascal's Triangle**:
- Pascal's triangle is constructed by starting with a single '1' at the top (the 0th row).
- Each subsequent row is formed by adding the two numbers directly above it in the previous row.

2. **Constructing the Rows**:
- The 0th row is:
\[ 1 \]
- The 1st row is:
\[ 1 \quad 1 \]
- The 2nd row is:
\[ 1 \quad 2 \quad 1 \]
- The 3rd row is:
\[ 1 \quad 3 \quad 3 \quad 1 \]
- The 4th row is:
\[ 1 \quad 4 \quad 6 \quad 4 \quad 1 \]
- The 5th row is:
\[ 1 \quad 5 \quad 10 \quad 10 \quad 5 \quad 1 \]

3. **Identifying the Last Entry**:
- In each row, the last entry is always '1'.
- This can be observed from the construction of the triangle where each row starts and ends with '1'.

4. **Conclusion**:
- Therefore, the last entry of any row of Pascal's triangle is always '1'.

### Final Answer:
The last entry of any row of Pascal's triangle is **1**.