If a new car buyer has the choice of 4 bod styles, 3 engines, 10 colors, with or withou air conditioning and automatic transmission, in how many different choices does he have?

Q: A person can select one of the five different colors from brick borders, one type of six different…

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Q: A senior inspector will inspect 10 rooms this week. (d) To have a fair representation, how many…

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Q: There are 32 teams attending the World Football Cup in Qatar. How many ways the championship team,…

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Q: A car manufacturer allows you to customize and order vehicles on their website. When customizing…

A: Given: There are 2 different sizes of the engine, 2 different types of transmission, 8 different…

Q: A computer package comes with two different choices of printer, four different monitors, and 3…

A: Multiplication rule of counting: If there are ‘a’ number ways to make the first choice, b ways to…

Q: 4 people rent a house that has 4 bedrooms. How many ways are there to assign the bedrooms to the…

A: 4 people 4 bedroom

Q: in a volleyball club there are 5 senior players and 5 junior players. If the team captain election…

A: Total number of players = 10 Total number of players in volleyball team = 6   Number of ways in…

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

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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: The supreme choice pizza at Pete's Pizza contains 3 different types of meat and 2 different…

A: It is given that a supreme choice pizza at Pete’s Pizza contains 3 different types of meat and 2…

Q: A coffee shop serves 14 different kinds of coffee drinks. How many ways can 5 different coffee…

A: The objective is to find the number of ways in which 5 different coffee drinks can be selected from…

Q: 27 cars are in a race . How many different ways can cars finish in the top 4 positions?

A: Solution Given 27 cars are in race .to find different many ways can cars finish in the top 4…

Q: How many different choices of car do you have if a particular model comes in 12 colors and 4 styles…

A: Total car = number of deferent colour x no of style.

Q: In a new subdivision, the builder offers some customization options. There are 4 options for the…

A: We have to find no. of combinations possible.

Q: A mother duck lines her 13 ducklings up behind her. In how many ways can the ducklings line up?

A: The objective of this question is to find out the number of ways in which the 13 ducklings can line…

Q: You need to rank 4 types of coffee. How many ways are there to rank them?

A: The objective of this question is to find out the number of ways to rank 4 types of coffee. This is…

Q: The president has a team of 20 trusted bodyguards. In how many ways can the president choose 5…

A: Given,  The president has a team of 20 trusted bodyguards  We have to find the number of ways of…

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

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Q: A new car model is available with 5 choices of color, 3 choices of transmission and 4 types of…

A: From the provided information, A new car model is available with 5 choices of color, 3 choices of…

Q: Maria has seven different skirts, five different tops, ten different pairs of shoes, four different…

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Q: A bride is choosing a dress for her bridesmaids. If there are 3 styles, 5 colors, and 4 fabrics, in…

A: Given: Styles = 3 Colors = 5 Fabrics = 4 The number of ways that she can select the bridesmaids…

Q: A mother duck lines her 7 ducklings up behind her. In how many ways can the ducklings line up?

A: The objective of this question is to find out the number of ways the 7 ducklings can line up behind…

Q: Kim, Dan, and Pat are finalists in a talent contest. How many different ways can Kim, Dan, and Pat…

A: Given data, Only one position for First place and only one position for Second place in a contest.…

Q: How many different arrangements can be made using all the letters in CALGARY, if the first letter…

A: CALGARY If the first letter must be G.  Then, Starting with G, need to arrange the remaining 6…

Q: A designer has designed different tops, pants, and jackets to create outfits. How many different…

A: Given six tops, five pants, two jackets

Q: The popular Racer Scooter comes in a variety of colorswith lots of options. The customer can choose…

A: Wheel colors = 4 Size = 3 With/without shocks type = 2 With/without wheel =2 With/without foam…

Q: A pizza restaurant has 11 toppings. How many different 4 topping pizzas could be made

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Q: From a group of 15 people, how many ways are there to select 5​ people to receive $50​ gift…

A: choose a group of 5 people to receive $50 gift certificate from a total of 15 people. no. of ways to…

Q: You are using a local home remodeling company to remodel your kitchen. They have 1515 different…

A: It is given that  Cabinet door style = 15 Countertop choices = 8 Types of flooring = 19

Q: A poker hand consists of five cards from a deck of 52.  Order does not matter.  In how many ways can…

A: A poker hand consists of five cards from a deck of 52.   Order does not matter i.e. combination is…

Q: A class of 15 students will chose between style of course text book; one text for each student. The…

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Q: many different selections of these models and colors are possible?

A: Mrs. Wilson has decided to buy a Chevrolet Caprice or a Buick Roadmaster. She has narrowed down the…

Q: Suppose you have a choice of ten TV sets that can be matched with any of six DVR players and eight…

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

Q: There are 7 boys and 3 girls in a class. How many different ways can the classroom teacher create a…

A: From the given information,   Number of boys = 7 Number of girls = 3   Total = 10

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,…

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.