Find the coefficient of \( x^{5} \) in the expansion of : \[ (1+x)^{21}+(1+x)^{22}+\ldots \ldots...

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Find the coefficient of \( x^{5} \) in the expansion of :
\[
(1+x)^{21}+(1+x)^{22}+\ldots \ldots \ldots+(1+x)^{30} .
\]
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