A fair die is thrown three times where the outcomes shown in order are denoted by a, b and c,
respectively. Find the probability of each of the following:
(a) a < b < c;
(b) a ≤ b ≤c;
(c) a+b+c= 11;
(d) (a - b)(b-c) = 0;
(e) (a - b)(b-c) = 2.