Motors Inc. manufactured 325 cars with automatic transmissions, 216 with power steering, and 89with both of these options. How many cars were manufactured with at least one of the two options?

Q: If a call center receives 2000 calls, how many customers will be on hold for more than 12 minutes? .…

A: We have given that  Mean=13.6 Standard deviation=1.7 X~Normal(mean=13.6 , Standard deviation=1.7)

Q: A restaurant offers four sizes of pizza, two types of crust, and eight toppings. How many…

A: GivenA restaurant offersNo.of pizza sizes=4No.of crust ypes=2No.of toppings=8

Q: At a furniture store, there a 4 different sizes of sofas, 7 different colors of fabric , and 8…

A: Given that, No.of  different sizes of sofas = 4 No.of different colors of fabric =7 No.of different…

Q: Don has nine pairs of shoes, six pairs of pants, and seven shirts. If all items are compatible, how…

A:

Q: How many license plates consisting of three letters followed by three digits contain no letter or…

A: Here we have to find  out the combination of licence plate where repetition  of  letters and digits…

Q: Apple decided to give an apple watch to the first person in line, an iPhone to the second person in…

A: From the given information, Apple decided to give apple product to all three persons who stand up in…

Q: If a girl has 6 skirts, 10 blouses, and 8 pairs of shoes, how many different skirt-blouse-shoe…

A: We need to find the number of total outfits in given situation.

Q: A softball league has 13 teams. If every team must play every other team once in the first round of…

A: We are given that there are 13 teams and every team needs to play against every other team. For exam…

Q: The IU East van that has a seating capacity of seven is to be used by seven athletes to get to the…

A: Given that, The IU East van that has a seating capacity of seven is to be used by seven athletes to…

Q: If 6 persons are to be seated in round table with 6 chairs, how many ways can they be seated?

A:

Q: In a club with 7 male and 11 female​ members, how many 4-member committees can be chosen that have…

A: (a) From the given information, the club with 7 male and 11 female members. And 4-member committee…

Q: If 4 coins are tossed, in how many ways can they fall?

A: Each coin has two possible outcomes - heads or tails.    H = Heads, T = Tails Each of the 4 tosses…

Q: A man has 3 different pairs of shoes, 8 different pairs of socks, 4 different pairs of slacks, and 2…

A: We have given that 3 different pairs of shoes 8 different pairs of socks  4 different pairs of…

Q: In a class of 40 students, 26 like Math, 12 like physics, and 6 like both math and physics.…

A: Solution: From the given information, number of students in a class is 40. Number of students like…

Q: in a survey of 80 fifth grade students who play soccer,basketball,or both,60 students play and 40…

A: Form the given information, In a survey of 80 fifth grade students who play soccer, basketball or…

Q: A certain brand of razor blades comes in packages of 6, 12, and 24 blades, costing $2, $3, and $4…

A: Let x be the number of $2 6 packs, y the number of $3 12 packs and z be…

Q: A dog shelter is giving away 16 different dogs, but you have room for only six of them. How many…

A: A dog shelter is giving away 16 different dogs. And there is room for only six of them.

Q: A club has 35 members, 8 of whom are Civil Engineers. In how many ways can a committee of 4 be…

A:

Q: In a school of 320 students, 85 students are in the band, 200 students are on sports teams, and 60…

A:

Q: Mr. Gardose buys chocolates in boxes of 48 and then puts them into groups of 11. If he buys 93…

A: As per given information: He puts the chocolate into group of 11 Then he is putting 48×93=4464…

Q: 3. The 2410 women undergraduates at the college comprise 54% of all undergraduates. How many…

A: I am going to solve the given problem by using some simple algebra to get the required result of the…

Q: How many different teams can be formed?

A: Given  there are 10 males and 8 females to find: needs to nominate 3 men and 3 women for the company…

Q: From the 10 male and 12 female sales representatives for an insurance company, a team of 4 men and 2…

A:

Q: From a group of 36 people, a jury of 12 is selected. In how many different ways can a jury of 12…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: From the 12 male and 12 female sales representatives for an insurance company, a team of 4 men and 2…

A:

Q: The Cincinnati Angry Unicorns is a local swimming team which currently has seventeen members. If…

A:

Q: a local government had an employee reduction and lost 1/5 of its employees . If 88 of its employees…

A:

Q: A high school principle plans to visit classrooms of 5 teachers in one day. If there are 32 teachers…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: A certain school has 3 desktop computers for every 4 laptop computers, and it has 70 computers…

A: Given : A certain school has 3 desktop computers for every 4 laptop computers and it has a total…

Q: Out of 800 families with 5 children each, how many would you expect to have, (i). 3 boys (ii) Either…

A:

Q: If 120 more people showed up to Shakespeare in the Park than are here now, there would be 9 times as…

A:

Q: Out of 2000 families with 4 children each, how many would you expect to have (a) at least 1 boy, (b)…

A:

Q: If I have 8 apples and take away 4, how many do i have left?

A: You have 8 apples and 4 apples are being taken away. This means number of apples which you have is…

Q: out of forty students in a class, 14 are taking english and 29 are taking chemistry. five students…

A: The answer is given as follows :

Q: In a 10 team tournament, trophies are to be given to the top 3 places. In how many ways can the…

A: Given: There are 10 teams in the tournament and trophies are to be given to the top 3 places. Find…

Q: A committee is to consist of three members. If there are six men and seven woman available to serve…

A: given, Number of men=6 Number of women =7 total number of men and women=6+7=13 A committee is to…

Q: If someone owns: 7 pants 1 shirt 5 ties 7 jackets, how many different outfits can that person make?

A: We have given that someone owns: 7 pants 1 shirt 5 ties 7 jackets

Q: Your sister is shopping at an exclusive Rodeo Drive clothing store and examines 4 distinct blouses,…

A: It is given that there are 4 distinct blouses, 5 distinct dresses, and 2 distinct handbags. Since,…

Q: A sub sandwich shop offers 22 toppings to choose from. How many ways could a person choose a…

A: Given problem:- A sub sandwich shop offers 22 toppings to choose from. How many ways could a person…

Q: In a construction company, there are three

A: Here the table below shows the required calculation for obtaining the coefficient of variation for…

Q: A restaurant offers a choice of 5 salads, 15 main courses, and 9 desserts. How many possible…

A: We have find the probability of given problem.

Q: In a class of 25 students, 17 lived with both parents, 21 lived with their mothers, and 20 lived…

A: Here we have to solve the following problems using Polya's problem-solving steps.

Q: From the 9 male and 6 female sales representatives for an insurance company, a team of 2 men and 2…

A:

Q: Ifa restaurant menu offers 7 appetizers, 6 main courses, and 11 desserts, how many different meals…

A:

Q: In a group of 65 ice cream lovers, 45 like Cherry Garcia, 34 like Chocolate Therapy and 18 like…

A:

Q: From a group of 10 physicians, in how many ways can four people be selected to attend a conference…

A:

Q: A contractor has three styles of homes, each with three styles of garages, two styles of decks, and…

A: Answer: First we need to list all the possible selections and the number of choices that each…

Q: A girl has four skirts and six blouses. How many different skirt-blouse combinations can she wear?

A: The girl can wear 4 skirts in four patterns.While she can wear 6 blouses in 6 patterns.

Q: According to a survey, 30 adults in Makati watch an average of 4 hours of television per day, and 30…

A: Use formula of average

Q: , 41 of every 100 registered voters in a certain city voted. If there were 112,300 registered voters…

A: The voters voted from 100 registered voters is 41. so, The voters voted from 112300 registered…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.