Suppose 135 students are surveyed about their favorite ice cream flavors with the following res 63 like Chocolate 61 like Caramel 53 like Vanilla 28 like Caramel and Vanilla 31 like Chocolate and Caramel 22 like Chocolate and Vanilla 15 like all three flavors a) How many students do not like any giyen flavor?

Q: How many different committees are possible that consist of 5 women and 3 men selected from a group…

A: For a committee, arrangement does not matter so use the combination method.  We can select 5 women…

Q: In how many ways can 4 pizza toppings be chosen from 12 available toppings?

A:

Q: ts into 4 equal activit re in each group?

A:

Q: Assume that 15 exhibits entered the science fair, and that we want to assign 3 prizes: first,…

A:

Q: a. State one difference and one similarity between permutation and combination. b. How many…

A: 3. The difference and similarity between permutation and combination are stated below.

Q: 3. Suppose 1500 runners are in a race. How many ways could the runners finish in 1*, 2nd and 3rd…

A:

Q: 2. A manager samples the receipts of every fifth person who goes through the line. Out of 50 people,…

A: Given that, No.of people had a mispriced items = 4 Total no.of peoples = 50 The probability that…

Q: 3. In how many ways can you arrange 5 books on a shelf from available 10?

A: The number of all combination of n things, taken r at  time is given by:

Q: If "P, = 840, "C, = 35, then r =

A:

Q: True or False? There are more people with blue eyes than there are people not wearing yellow? Not…

A: From the given data: People with the blue eyes = 12 People not wearing yellows = 22

Q: 9) From a group of 30 people, a jury of 12 people is selected. In how many different ways can a jury…

A: We use combination formula here to find number of ways to select 12 people out of 30 peoples

Q: . evaluate perm(5,3)= b. evaluate perm(22,6)= c. evaluate comb(5,3)=

A: a. evaluate perm(5,3)=? b. evaluate perm(22,6)=? c. evaluate comb(5,3)=?

Q: There are 12 different types of chocolate candy entered in a chocolate-candy-tasting-contest. How…

A: Given,Total number of chocolate candy, n = 12We need to find the number of ways are there to choose…

Q: 1. In how many ways can you seat four adults and seven children along one side of a rectangular…

A: A  rectangular table has 4 sides One side of the rectangle table can be chosen in C1 = 4!1!*3!=44…

Q: Suppose that 9 people lost an average of 13.3 pounds over the course of the first month of being on…

A: 9 people lost 13.3 pounds on an average. Let w1,w2,...,w9 be the weight loss of the 9 people. Then…

Q: 10. Suppose that 5 teachers and 8 students volunteered to be on a graduation committee. The…

A: Given that  Teachers = 5 , Students = 8 Committee consists 2 teachers and 3 students  Note : nCr =…

Q: You need to arrange four of your favorite books along a small shelf. How many different ways can you…

A: Given that Number of favourite books have to arrange in a small shelf=4 To find Total number of…

Q: A professor has a class with four recitation groups.  Each section has 7 students.  Determine…

A: Given The data is as follows: Group 1 Group 2 Group 3 Group 4 88.8 83.7 77.1 84.4 90.6 70.7…

Q: 2. Your friend Carlos brought over 10 videos. Together, you choose 4 of them to watch. How many…

A:

Q: Evaluate: C(25, 4) + C(30, 3) + C(35, 2) A. 17,900 B. 17,305 C. 16,710 D.4,655

A: Given Data : Expression : C(25, 4) + C(30, 3) + C(35, 2)       To Find : The value of the expression…

Q: How many license plates can be made using either two or three letters followed by either two or…

A:

Q: 8) In a track meet, ten runners compete for first, second, and third place. How many different ways…

A: Correct answer is =  3! * 103 = 6 * 10*9*83*2*1 = 720

Q: If 20 paintings are entered in an art exhibit, in how many different ways can the judges award a…

A: It is given that, 20 paintings are entered in an art exhibit. Then judge award the first prize to…

Q: How many different ways are there to select a group of 4 out of 8 people for a survey?

A: Answer:- Here , Total number of people (n) = 8  Selecting a group of (r) = 4 people  Using…

Q: A batch of 130 semiconductor chips is inspected by choosing a sample of 3 chips. Assume 5 of the…

A:

Q: Assume that a bakery has 7 different types of cakes. How many different ways can 5 cakes of any type…

A: We have total 7 cakes  From the 7 cakes, we have to pick a group of 5 cakes. So the arrangement does…

Q: 25.) 90% of all dogs have city licenses. If 7020 licenses have been issued, how many dogs are there…

A: