Question

What is eight small five on top over eight small two on top is the answer eight small seven on top or 64 or eight small 10 on top or eight small three on top

Answer 1

It seems like you're describing a mathematical expression involving combinations, typically represented as "n choose k". In standard notation, this is written as \( \binom{n}{k} \).

From your description, it seems you have:

- \( \binom{8}{5} \) on the top
- \( \binom{8}{2} \) on the bottom

Now if you're trying to evaluate \( \frac{\binom{8}{5}}{\binom{8}{2}} \):

Recall that \( \binom{n}{k} = \frac{n!}{k!(n-k)!} \).

1. Calculate \( \binom{8}{5} \):
\[
\binom{8}{5} = \frac{8!}{5!(8-5)!} = \frac{8!}{5!3!} = \frac{8 \times 7 \times 6}{3 \times 2 \times 1} = \frac{336}{6} = 56
\]

2. Calculate \( \binom{8}{2} \):
\[
\binom{8}{2} = \frac{8!}{2!(8-2)!} = \frac{8!}{2!6!} = \frac{8 \times 7}{2 \times 1} = \frac{56}{2} = 28
\]

3. Now, calculate the fraction:
\[
\frac{\binom{8}{5}}{\binom{8}{2}} = \frac{56}{28} = 2
\]

Since none of the options you provided explicitly match that output, could you confirm or clarify the formatting or further details of your question?

If you're referring to something else, please provide additional context.