We can use the combination formula for this:
$$\binom{n}{k} = \frac{n!}{k!(n-k)!}$$
In this case, we have a total of 30 board members (13 female + 17 male), and we want to choose 10 of them. So, we have:
$$\binom{30}{10} = \frac{30!}{10!(30-10)!} =
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