Pascal's Triangle is a triangular array of binomial coefficients. Each number in the triangle is the sum of the two numbers directly above it. Here is Pascal's Triangle up to n = 6:
```
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
```
In each row, the first and last elements are always 1, and the other numbers are obtained by adding the two numbers above them. Each number in Pascal's Triangle represents a binomial coefficient, and the row number corresponds to the exponent in the binomial expansion. For example, in the 4th row (1 3 3 1), the coefficients are 1, 3, 3, 1, which correspond to the coefficients in the expansion of \((a + b)^3\):
\[ (a + b)^3 = 1a^3 + 3a^2b + 3ab^2 + 1b^3 \]
Similarly, the coefficients in the 6th row correspond to the expansion of \((a + b)^5\):
\[ (a + b)^5 = 1a^5 + 5a^4b + 10a^3b^2 + 10a^2b^3 + 5ab^4 + 1b^5 \]
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