The coefficient of \( x^{5} \) in the expansion of \( (1+x)^{21}+ \) \( (1+x)^{22}+\ldots \ldots....
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The coefficient of \( x^{5} \) in the expansion of \( (1+x)^{21}+ \)
\( \mathrm{P} \)
\( (1+x)^{22}+\ldots \ldots+(1+x)^{30} \) is
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(1) \( { }^{51} C_{5} \)
(2) \( { }^{9} C_{5} \)
(3) \( { }^{31} C_{6}-{ }^{21} C_{6} \)
(4) \( { }^{30} C_{5}+{ }^{20} C_{5} \)
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