Could anyone help out on Number theory? A proof of the following:

Could anyone help out on Number theory? A proof of the following:

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\[\binom{pa}{pb}\equiv\binom{a}{b}\mod p^3\]Where p is prime and\[p>2\]

what class?

Well, it'd be a grad level number theory class, but it's a problem I was given in a summer camp as part of a worksheet.

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