# What's going on again?

$\Large{\sum_{r=0}^{47} {50 \choose r} {50-r \choose 3} 2^{r}}$

If the above sum can be expressed in the form $$a^{b} \times c^{d} \times e^{f} \times g^{h}$$, where $$a$$, $$c$$, $$e$$ and $$g$$ are distinct prime numbers, find the value of $$a+b+c+d+e+f+g+h$$.

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