Doubt from Binomial Series

I dont know the answer. I know this can be done using expansion and then individually calculating. Is there a simpler and shorter method?
Oops leave it. I am such an idiot.

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I tried but am not able to go beyond the lengthy method. Can you please show your working.

Hint: nCr=nCn-r

And then use symmetry.

16i =1???? Part first ans @Diya_2021

Yes, correct!

Show approach

Just plugged values nd calculated domain is small

Domain? How do u do that?

Omg! You did like this ;D, never fail to amaze me

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