The coefficient of \[{{t}^{24}}\] in the expansion of \[{{(1+{{t}^{2}})}^{12}}(1+{{t}^{12}})\,(1+{{t}^{24}})\] is [IIT Screening 2003]

The coefficient of \[{{t}^{24}}\] in the expansion of \[{{(1+{{t}^{2}}

1.	The coefficient of \[{{t}^{24}}\] in the expansion of \[{{(1+{{t}^{2}})}^{12}}(1+{{t}^{12}})\,(1+{{t}^{24}})\] is [IIT Screening 2003]
A.	\[^{12}{{C}_{6}}+2\]
B.	\[^{12}{{C}_{5}}\]
C.	\[^{12}{{C}_{6}}\]
D.	\[^{12}{{C}_{7}}\]
Answer» B. \[^{12}{{C}_{5}}\]

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The coefficient of \[{{t}^{24}}\] in the expansion of \[{{(1+{{t}^{2}})}^{12}}(1+{{t}^{12}})\,(1+{{t}^{24}})\] is [IIT Screening 2003]

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