Answering the questions plaese.

1) How many 2 letter passwords can you make with the letters A to F, if you are not allowed to repeat any letters? A. How many pairs do you have in your list? B. How many pairs in your list have A as the first position?

2) How many car licence plates can be created when the first 4 characters are letters and the last 3 are numbers?

3) Determine all the possible 4 digit numbers that could be created using numbers 0 to 9, if A. Numbers can be repeated. B. Numbers cannot be repeated. C. The 4 digit number is odd. D. The 4 digit number is even.

4) In the past, sailing ships sent messages with signal flags flying from their masts. How many different signals are possible with a set of four distinct flags if a minimum of two flags is used for each signal?

5) A large room has a bank of five windows. Each window is either open or closed. How many different arrangements of open and closed windows are there?

6) A grade 9 student may build a timetable by selecting one course for each period, with no duplication of courses. Period 1 must be science, geography, or physical education. Period 2 must be art, music, French, or business. Period 3 and 4 must each be mathematics or English. A. Construct a tree diagram to illustrate the choices for a student's timetable. B. How many different timetables could a student choose?

7) Simplify the following expression:- (n-1-r)! [6K] 8) Solve for , n n is the whole number p(2n + 4, 3) = =p(n + 4, 4)