# Coefficients

If the value of
$$\displaystyle ^{404}C_{4} -^{4}C_{1} ^{303}C_{4} + ^{4}C_{2} ^{202}C_{4} - ^{4}C_{3} ^{101}C_{4}$$ can be represented as $$101 ^{\alpha}$$ . The value of $$\alpha$$ is

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