A four or five-digit PIN is to be selected from the eight digits 0, 1,2,3,4,5,6,7. 1. How many 5-digit PINs are possible if: a) all 5 digits are the same? e.g. 3-3-3-3-3 8 b) no digit can be repeated? | 6720 c) any digit can be repeated? |32768 d) the first 3 digits must be different digits and the last 2 digits must be the same, but none of the first 3 digits can be used in the last 2? 1680 2. Suppose any digit can be repeated, how many 5-digit PINs are possible if each PIN: a) must start with "3"? b) must not end with "1"? c) must neither start with "4" nor end with "4"? 3. Suppose no digit can be repeated, how many 4-digit PINs are possible if each PIN: a) must start with "3"? b) must not end with "1"? c) must neither start with "4" nor end with "4"