Summation with Binomial Coefficients, $\sum (-1)^k \binom{m_1}{k} \binom{m_2}{k} $

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I have trouble doing this summation:

$$ \sum_{k=0}^{\min(m_1,m_2)} (-1)^k \binom{m_1}{k} \binom{m_2}{k} $$

where $m_1$ and $m_2$ are positive integers.

Can someone help?