a) A locker combination is made up of five digits using only…
a) A locker combination is made up of five digits using only the digits {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. The combination must start with an even digit, follow the pattern even-odd-even-odd-even, and all digits must be distinct. How many such combinations are possible? b) A smoothie shop offers 5 types of fruits, and customers can choose any number of fruits in their smoothie, with repetitions allowed. How many ways are there to make a smoothie using exactly 12 pieces of fruit?