1. A coin is tossed three times. What is the best description of the tree diagram that illustrates this event? (two marks) 2. The number of possible outcomes for this tree diagram is (two marks)3. What is the number of possible outcomes when a coin is tossed 7 times?(two marks) 4. A 6-sided die and a 12-sided die are rolled and the ordered pairs are recorded. What is the number of possible outcomes?(two marks) 5. A licence plate is formed using m letters and n digits. The number of unique licence plates is(two marks) 6. A card is chosen from a standard deck and returned. This process is repeated a total of 5 times. How many outcomes are possible?(two marks)8. A baseball team has eight pitchers and three catchers. How many pairs of a pitcher and catcher can be made?(four marks) 9. A combination lock uses the numbers from 1 to 60. How many unique three-number lock combinations are possible if repetition is permitted?(three marks) 10. Fraternities and sororities often use the Greek alphabet to name their group. The Greek alphabet has 24 letters. If repetition is permitted, how many different fraternities or sororities could be named a) using two letters? b) using three letters? (four marks) 11. A classroom has a bank of eight light switches. In how many ways could they be turned on or off? Justify your answer.(four marks)