1. In Alberta, all postal codes start with the letter T. How many different postal codes are their possible in Alberta?
In Canada, all postal codes are made up of six characters., which follow the pattern, letter-digit-letter-digit-letter-digit. The first letter of the code identifies a specific region. Each of the remaining two letters in the postal code can be any of 26 letters, and each of the three digits can be any digit from 0 to 9. All letters and digits can be repeated.
I think it's 676 000.
2. Each switch on a panel of five light switches may be in an "on" and "off" position at any given time. For example, one possible unique position is having the first three light switches "on", while the other two are "off". Find the number of possible unique positions of all light switches.
3. Compared with the number of BC license plates available in 1912, find the increase in the number of license plate available in 1941.
In 1912, BC license plates consisted of four digits. Each digit could be repeated, but the first digit could not be zero. By 1941, BC license plates consisted of five digits. Each digit could be repeated, but the first digit could not be zero.
For all three questions, I just need the numerical solution. Thank you.
