Question

46) 46) Elise has put 5 cans (all of the same size) on her kitchen counter, 2 cans of vegetables, 2 cans of soup, and 1 can of poaches. Her son, Ryan, takes the labels off the cans and throws them away. Elise then choones 2 cans (without replacement) at random to open. Find the probability that she will open at least I can of soup A) 7 10 B) Solve the problem 47) How many four-digit numbers can be formed using the digits 0,1,2,3,4,5,6,7,8,9, if 47) repetitions of digits are allowed? A) 9000 B) 8999 C) 10,000 D) 256 48) In how many ways can 4 people be chosen and arranged in a straight line, if there are 12 people 48) from whom to choose? A) 19,958,400 B) 39,916,800 C) 48 D) 11.880 An order of award presentations has been devised for seven people: Jeff, Karen, Lyle, Maria, Norm, Olivia, and Paul. 49) In how many ways can the people be presented? 49) A) 5,040 B) 720 C) 49 D) 2,520 Suppose a traveler wanted to visit a museum, an art gallery, and the state capitol building. 45-minute tours are offered at each attraction hourly from 10 a.m. through 3p.m. (6 different hours). Solve the problem, disregarding travel time. 50) In how many ways can the traveler visit all three places in one day? 50) A) 120 B) 15 C) 30 D) 60 51) Solve the problem. 51) How many different three-digit numbers can be written using digits from the set 12,3,4,5,6) without any repeating digits? B) 20 C) 10 A) 60 D) 120 52) 52) There are 9 horses in a race. In how many ways can the first three positions of the order of the finish occur? (Assume there are no ties.) A) 504 B) 82 C)508 D) 84 53) A license plate is to consist of 2 letters followed by 3 digits. Determine the number of different license plates possible if repetition of letters and numbers is not permitted. A) 468,140 B) 468,000 C) 676,000 D) 467,980 53) 7

Answer 1

46 Plat least one is soup) = /- Plnone is soup) 1- 6 -1- B - 1o. (47) A reu first position 9 choices. (since au cant staut with zela, and rem B positio 10 chois Total = 9X103 = govo. 42 Bust choose 4 people fuom 12 in (2) ways and then they can be aucrange din 41 ways. Hence total (4) * 4 1 = 11,800 There are 7 people. The no of ways presentation can be made is 7! = 5040 ways A 29