Mark the correct alternative in each of the following: The coefficient of \( x^{5} \) in the exp...

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Mark the correct alternative in each of the following:
The coefficient of \( x^{5} \) in the expansion of \( (1+x)^{21}+(1+x)^{22}+\ldots+(1+x)^{30} \) is
(A) \( { }^{51} C_{5} \)
(B) \( { }^{9} C_{5} \)
(C) \( { }^{31} C_{6}-{ }^{21} C_{6} \)
(D) \( { }^{30} C_{5}+{ }^{20} C_{5} \)
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