PERMUTATIONS & COMBINATIONS

There are 12 girls and 8 boys in a class. In how many ways could a committee of two girls and two boys be chosen? Select one: 12! 8! 3' WE 12! b. W .. C. 12C; X8 C2 - 2 d. 0C4 e. 2! x 2! Chris has a choice of four different buses to the station. Once there, he has a choice of three different trains to the city. When he arrives at the city he can either take the tram to work or walk. How many different choices does he have for travelling to work? Select one: " a. 24 ' b. 7 9 In how many ways can a hand of five cards be dealt from a pack of 52 oarols?? Select one: a 5! b 47 C5 o. % e 52 C5 Five-letter 'words' are to be made by arranging the letters of the word PHYSICAL. What is the probability that the word begins with a vowel? Select one: a. % o. % d. i e. % Of a group of 32 students trying out for the cricket team, seven are left- handed. If there are 11 players in a team, what is the probability that if the team is chosen at random it will have exactly one left-handed player? Select one: O a . 25 C10.7CI 32 C11 O b. 32 C11 25 C10 .7C1 O c. 25 CH1 .CI 32 C11 O d. 1 CI 32 C11 O e. 32 C7 32 C11Amy goes to her friend's house to borrow two novels, two cookbooks and three travel books. Her friend has ten novels, eight cookbooks and three travel books. In how many ways could Amy choose the books? Select one: " a. 1260 b. 76 \" c. 3780 d. 73 e. 48 600 Adrienne releases 20 gold fish and 10 black fish into a pond. lf four fish are caught at random, the probability that there are two gold and two black fish is Select one: a ZGCZ'IDCZ 3c4 b 10c4 20c4 C 20c4_lc4 3c4 d 32C]] 25C10'7C1 e 30C2 In how many ways can seven friends be seated in a row at the theatre? Select one: a. 7C1 " b. 23; " d. 7! e. 7 How many different licence plates can be made using two letters followed by three digits, if neither the letters nor the digits can be repeated? Select one: a. 1676 b. 468 000 c. 82 d. 492 804 e. 676 000