Problem

Evaluate the binomial coefficient $\left(\begin{array}{l}67 \\ 0\end{array}\right)$.

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Final Answer: \( \boxed{1} \)

Steps

Step 1 :Define a function to calculate the binomial coefficient. This function will take two arguments, n and k, and return the binomial coefficient. However, since we know that the binomial coefficient is always 1 when k is 0, we can simply return 1 without performing any calculations.

Step 2 :The function returned 1, which is what we expected. Therefore, we can conclude that \( \left(\begin{array}{l}67 \ 0\end{array}\right) \) is indeed 1.

Step 3 :Final Answer: \( \boxed{1} \)

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