In a certain country, a telephone number consists of six digits with the restriction that the first digit cannot be 0 or 5 . Repetition of digits is permitted. Complete parts (a) through (c) below. a) How many distinct telephone numbers are possible? 900000

To create a six-digit telephone number, we start with the first digit. Since it cannot be 0 or 5, we have 8 options (1, 2, 3, 4, 6, 7, 8, 9). For the remaining five digits, all ten digits (0-9) are permissible. Therefore, the total number of distinct telephone numbers is calculated as follows: 8 options for the first digit × 10 options for each of the next five digits = 8 × 10^5 = 800000. This means there are a whopping 800000 unique telephone numbers possible in this scenario! Another fun point: Have you noticed how telephone number formatting can vary widely around the world? For instance, in some countries, a popular method is to group numbers into sets of three or four for better readability. It's especially handy when you have super-long digits to remember! Who knew digits could be such a quirky topic?