Knowledge and Understanding 1. Evaluate the following expression 4! - 2*3! + 2P(3, 1) - 3C(4,2) + 0! 2. Show that the number of three-letter "words" that can be formed from the word CAMPGROUND is the same as the number of permutations of the letters of GROUND. 3. List all possible combinations of 3 colours taken from the set of {red, blue, green, yellow, black}. 4. How many distinct arrangements of the letters in RANDOMLY can you make? a) taking all the letters at a time b) taking six letters at a time c) taking three letters at a time Application 5. A six-sided die is rolled and then a coin is tossed. ) Draw a tree diagram that represents all possible results of the two actions taken together. b ) Determine the probability of rolling an odd number and tossing heads. 6. Find the number of arrangements of the word "RECESSION". 7. In how many ways can a committee of 7 be chosen from 16 males and 10 females if a) there are no restrictions? b) they must be all females? C) there must be at least 1 female? 8 . Using the arrangement of letters given below, compute the number of paths that spell the word PERMUTATION if all paths must start at the top and move diagonally down through the letters. P E E R R V VI VI II T T T T A I T T N