\sum_{i=1}^{n}\frac{u^id^{n-i}n!}{(n-i)!*i!}p^i(1-p)^{n-i}\sum_{i=1}^{n}\frac{u^id^{n-i}n!}{(n-i)!*i!}p^i(1-p)^{n-i}

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