4. How many ways are there to arrange either 4 or 5 toys from a basket of 12 toys?(two marks) 5. A box contains 3 red, 5 green, 1 blue, 6 orange, and 4 black blocks. In how many ways could a child reach in and select a block?(three marks) 6. Four players each are dealt one card. In how many ways could the cards all be clubs or honour cards (10, J, Q, K, A)?(three marks)7. Express in the form , P, 12! 6! b) 9! c) 27 x 26 x 25 (three marks) 8. A club has 20 members. In how many ways could an executive committee consisting of a president, vice president, secretary, membership director, and treasurer be named? Show two methods.(three marks) 9. A spinner has 6 sections, numbered from 1 to 6. The spinner is spun 4 times. How many different outcomes are possible?(two marks)10. ) A combination lock uses the numbers from 1 to 60. How many unique three-number lock combinations are possible if repetition is permitted? (three marks11. 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) 12. From a graduating class of 175 students, the four students with the highest average marks will win academic awards. In how many ways could these awards be presented?(three marks) 13. Using words and/or diagrams, explain why the number of arrangements of the letters ABCDE is 5!.(three marks)14. How many ways are there to roll a sum divisible by three on two dice?(three marks) 15. Determine the number of ways of arranging 4 or 5 books on a shelf from a box containing 12 books. (four marks),1. How many permutations are there of 7 people taken from 11 people?(two marks) 2. If 10 different books are to be arranged on a shelf, in how many different ways can this be done?(two marks) 3. Depending on the situation, a game allows a player to roll 1, 2, or 3 dice. How many possible outcomes are there?(two marks)