Choosing binomial distribution instead of hypergeometric without replacement

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The problem is: A batch of $10$ rocket cover gaskets contains 4 defective gaskets. If we draw samples of size $3$ without replacement, from the batch of $10$, find the probability that a sample contains $2$ defective gaskets.

Since this problem doesn't have replacement, I know to use hypergeometric distribution because the probability isn't the same each trial. However, I was wondering if it was possible to use binomial distribution for this problem, and problems without replacement period.