A) \[^{40}{{C}_{4}}\]
B) \[^{10}{{C}_{4}}\]
C) 210
D) 310
Correct Answer: D
Solution :
[d]: \[{{(1+x+{{x}^{3}}+{{x}^{4}})}^{10}}={{(1+x)}^{10}}{{(1+{{x}^{3}})}^{10}}\] \[=(1{{+}^{10}}{{C}_{1}}.x{{+}^{10}}{{C}_{2}}.{{x}^{2}}+...)(1{{+}^{10}}{{C}_{1}}.{{x}^{3}}{{+}^{10}}{{C}_{2}}.{{x}^{6}}+...)\] \[\therefore \]Coefficient of \[{{x}^{4}}{{=}^{10}}{{C}_{1}}{{.}^{10}}{{C}_{1}}{{+}^{10}}{{C}_{4}}=310\]You need to login to perform this action.
You will be redirected in
3 sec