JEE Math Practice Question
The maximum value of the term independent of 't' in the expansion of $${\left( {t{x^{{1 \over 5}}} + {{{{(1 - x)}^{{1 \over {10}}}}} \over t}} \right)^{10}}$$ where x$$\in$$(0, 1) is :
- A.$${{10!} \over {\sqrt 3 {{(5!)}^2}}}$$
- B.$${{2.10!} \over {3\sqrt 3 {{(5!)}^2}}}$$
- C.$${{10!} \over {3{{(5!)}^2}}}$$
- D.$${{2.10!} \over {3{{(5!)}^2}}}$$
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