A combination lock has 8 dials with ve positions, say a, b, c, d, and e. (a) How many different combinations are there to this lock? (b) How many combinations are available if no two adjacent dials are set in the same position? (c) How many combinations are available if only positions a and b are used, and these are used equally often? ((1) How many combinations are available if you use four a, three b, and one c in the combination? (e) How many combinations are available if you use four of one type, three of a second, and one other