To find the value of 9 \binom{6} directly from Pascal's triangle:

1. Locate the row corresponding to $n = 9$ (Pascal's triangle rows are indexed starting from $n = 0$).
2. Find the $k = 6$-th element in this row (elements are indexed starting from $k = 0$).

The 9 \binom{6} value is $84$, as Pascal's triangle gives the binomial coefficients for each row.

Would you like to learn how Pascal's triangle is constructed or explore related concepts? Here are 5 related questions:

1. How is Pascal's triangle derived for any row $n$?
2. Can you explain why the binomial coefficients in Pascal's triangle are symmetrical?
3. What is the relationship between n \binom{k} and the entries in the triangle?
4. How is Pascal's triangle connected to the Binomial Theorem?
5. Can we compute n \binom{k} algebraically without Pascal's triangle?

Tip: Pascal's triangle is a quick way to calculate combinations and is useful in probability, algebra, and even geometry!