Been stuck at this question for quite awhile. A detailed explanation will be much appreciated. Answers given were all incorrect and proper explanation cannot be found. I will be extremely thankful if you could answer them properly.

Compare and sort the two functions in each of the following three pairs by their asymptotic growth rate in ascending order. Discuss why. (a) n(n+1) and 500n2 (b) log2n and lnn (c) (n-1)! and n! (15 marks)