Dear Kishan.

 Please consult

https://sites.math.rutgers.edu/~zeilberg/Hist21/q7S.pdf

for the full solutions.

You got 7 points (out of 10). #1 did not have the "proof", so you lost one point. #5 was not explained at all. I gave you one point for the number of inversions.


 Best wishes,

   Dr. Z.