A new smart phone comes in five colors, two screen sizes and with four different data plans. In how many ways can this smart phone be ordered?

Q: A shipment of 50 calculators contains 3 that are defective. In how many ways can an inspector choose…

A:

Q: calculate the number of ways that the first, second, and third place horses can finish in a race…

A:

Q: A couple has narrowed down the choices of a name for their new baby to 4 first names and 6 middle…

A:

Q: A three-person committee is needed to study ways of improving publictransportation. How many…

A: We have to make committee of 3 person among 8 people .∴No of ways to select is r object among n…

Q: The research director of NASA must choose three experiments to send to the International Space…

A: The total number of experiments proposed = 17 Number of experiments need to be chosen = 3 We have to…

Q: If a person can select five books from a list of ten, how many different combinations are there?

A: Given data: The total numbers of books are n=10. The number of books selected is r=5. The expression…

Q: An employment agency has 6 temporary workers. In how many ways could 3 of them be assigned to 3…

A: In theory of combinatorics, the way of selecting r objects from n objects with regard to the order…

Q: . A shipment of 50 calculators contains 3 that are defective. In how many ways can an inspector…

A: we have to find number  of ways..

Q: How many ordered lists are there of eleven items chosen from fourteen?

A: Ordered lists are the lists in which position of each one matters  This can be solved by using…

Q: . How many ways are there to choose the members on the education group?

A: Given:  5 Republicans  4 democrats  3 members is to be formed with atleast 1 Republican.

Q: In recent years, a state has issued license plates using a combination of two letters of the…

A: Given that, In recent years, a state has issued license plates using a combination of two letters of…

Q: In a friend group of six, how many ways can we arrange them in a line for a photograph?

A: In a friend group of six, we have to arrange them in a line for a photograph.

Q: How many ordered lists are there of seven items chosen from twelve?

A:

Q: And a standard deck of cards, if the order in which cards are dealt is not important. How many hands…

A: There are total 52 cards in a standard deck of cards. There are total 12 face cards in those 52…

Q: Out of 9 children, in how many ways can a family have at least 1 girl?

A: We have given that, 9 children i.e. n=9 and family have at least 1 girl i.e. r=1   Combination…

Q: With six different flags, how many different signals can be sent by placing three flags, one above…

A: There are six different flags.     Number of flags available for first place is =6 Number of flags…

Q: How many different signals can be made from 7 flags hung in a vertical line, using 2 identical white…

A: We have to find correct different signals can be made from 7 flags hung in a vertical line.... Here…

Q: If 15 people start a race, in how many different ways can the top 3 finishers be determined?

A: Permutation:   It  is an arrangement of objects in a definite order where the order is important.…

Q: A credit card company gives each of its customers a 4-digit PIN where each digit is selected from…

A: Multiplication rule of counting:If a task consists of a sequence of choices in which there are ‘a’…

Q: If 162 strings of lights were disposed of last week because they were deficient, how many strings of…

A:

Q: The employees of a company are given a 4-digit identification number. How many different numbers are…

A: GivenThe employees of a company are given a 4-digit identification numberNo.of digits from 0-9=10

Q: How do I set this up?   If 30% of the registered voters voted in the election and 122,700 votes…

A: To set up an equation for the number of registered voters and solve for the unknown

Q: Suppose you are asked to list, in order, the three best movies you have seen this year. If you saw…

A: Suppose you are asked to list, in order of preference, the three best movies you have seen this…

Q: How many different eleven-member football teams can be formed from a possible 35 players if…

A: Total no. of possible players = 35 No. of players in a team=11

Q: Assume that a grade of A,B,C,D, or F is assigned to each of 9 students. In how many ways can grades…

A: From the provided information, The grades are A, B, C, D or F Total students = 9

Q: How many different choices of a car does a person have if a particular model comes in 14 colors and…

A: A particular model of a car has 14 color and 4 style. We have to find the number of choices of a…

Q: In how many different ways can 9 people arrange themselves in a line to receive service from a…

A: Given information: There are total 9 people arrange themselves in a line to receive service from a…

Q: Suppose you have a set of cups and saucers which are red, orange, green, light blue, dark blue, and…

A: Number of different coloured coffee cup=6 Number of different coloured saucer=6

Q: Six players are to be selected from an 11​-player baseball team to visit schools to support a summer…

A: No. Of total students = 11 No. Of player to select = 6.

Q: In a certain beauty pageant, there are 10 equally beautiful and talented candidates. In how many…

A:

Q: a restauranr offers 4 different flavors of coffee,3 different soup selections and 4 different…

A:

Q: A sailboat owner received 5 different signal flags with his new sailboat. If the order in which the…

A: Given A sailboat owner received 5 different signal flags with his new sailboat.

Q: how many ordered lists are there of three items chosen from six ?

A:

Q: A new smartphone comes in five colors, two screen sizes, and four different data plans.  In how many…

A: It is given that a new smartphone comes in five colors, two screen sizes, and four different data…

Q: How many people used two modes of transportation if 1978 took public transit, 1494 drove, 818…

A: Given Information: People who took public transit = 1978 People who drove = 1494  People who cycled…

Q: How many anagrams are there of the word anagram?

A: Given data : Given letter  is  : anagram To find: How many anagrams are there of the word anagram?…

Q: an automobile that was tested for production defects, but assume that the number of production…

A:

Q: How many different sets of 5 cards can be formed from a standard deck of 52 cards?

A: We need to find the number of different 5 card sets that can be formed from a deck of 52 cards. Now,…

Q: A city soccer league has 8 teams.  In how many ways could the league assign first, second, and…

A: There are total 8 teams We have to pick 3 teams from those 8 teams.  Since it is ranking, so order…

Q: If there are 13 employees in a club, in how many ways can they choose a dishwasher and a bouncer?

A: Given information- We have given that there are 13 employees in a club. They want to choose a…

Q: How many ways can the word SENSITIVE be rearranged to form a pass-code?

A:

Q: A brand of jeans comes in nine different washes, fives different fit styles, and three different…

A: Given Data; n( W)=9-2=7 n( F)=5 n(H)=3

Q: The state of Florida reports that 75% of all patients first diagnosed with a spinal cord injury are…

A: The state of Florida reports that 75% of all patients first diagnosed with a spinal cord injury are…

Q: How many ways are there to distribute 4 (identical) tomato plants and 5 (distinct) succulents, each…

A: Reviewing information, No. of tomato plants= 4 No. of succulents= 5

Q: How many numbers that the thief could try would be accepted as valid?

A: Given that the PIN consists of 4 digits. Note that for each digit, there are 10 possible choices,…

Q: A speech class teacher is going to rank five different speeches from 12 available speeches. In how…

A: Given that  A class teacher is going to rank five different speeches from12 available speeches. We…

Q: eeds of 100 cars are summarized in Cars 3 16 50 18 13

A: Given: Total number of cars = 100 Speed (mph) Cars (f) 30-39 3 40-49 16 50-59 50 60-69 18…

Q: In a survey of university students, 64 had taken mathematics course, 94 had taken chemistry course,…

A:

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.