please i need your help, this question is from my midterm exam ineed solution very quick, it is due next week! "your finger can provide an (n-1) multiplication table in base n, 2<=n<=10 as follow: hold n fingers in front of you. to multiply (n-1) by k in base n, lower the kth finger from the left. your answer is (ab)in base n or (b) in base n if a=0, where ab is a string, a is the number of fingers to the left of the finger you lowered, and b is the number of fingers to the right." explain why this works without listing all possible cases.