c) The name of a file in a computer directory consists of two uppercase letters followed...

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c) The name of a file in a computer directory consists of two uppercase letters followed by a digit, where each letter is either A, or B, and each digit is either 1 or 2. List the name of these files in lexicographic order, where we order letters using the usual alphabetic order of letters. [4 marks] d) How many different strings can be made from the letters in MISSISSIPPI, using all the letters? [2 marks] e) Suppose that there are eight runners in a race. The winner receives a gold medal, the second place finisher receives a silver medal, and the third-place finisher receives a bronze medal. How many different ways are there to award these medals, if all possible [3 marks] outcomes of the race can occur and there are no ties? c) The name of a file in a computer directory consists of two uppercase letters followed by a digit, where each letter is either A, or B, and each digit is either 1 or 2. List the name of these files in lexicographic order, where we order letters using the usual alphabetic order of letters. [4 marks] d) How many different strings can be made from the letters in MISSISSIPPI, using all the letters? [2 marks] e) Suppose that there are eight runners in a race. The winner receives a gold medal, the second place finisher receives a silver medal, and the third-place finisher receives a bronze medal. How many different ways are there to award these medals, if all possible [3 marks] outcomes of the race can occur and there are no ties?