Use the multiplication principle to solve. An auto manufacturer produces 5 models, each available in 6 different colors, with 9 different upholstery fabrics and 8 interior colors. How many varieties of car are available? The manufacturer can produce different varieties of car

Q: There are 11 teams in a league. How many games are played if every team plays each other twice?

A: Suppose there are n teams. Also suppose that all the teams play every other team twice. Then the…

Q: Use the multiplication principle to solve. An auto manufacturer produces 5 models, each available in…

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Q: Mr. Remo is planning to buy a car from two stores. From the first store, there are 4 models, 4…

A: Here use counting principle

Q: A grocery store has 4 brands of crackers and 8 different varieties of cheese. How many ways can Josh…

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Q: Use the multiplication principle to solve. A home improvement store website listed 272 different…

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Q: Eight students are eligible to receive 3 different scholarships. The scholarships are in the amounts…

A: Number of student =8Number of scholarship=3

Q: Use the multiplication principle to solve. A home improvement store website listed 278 different…

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Q: Jse the multiplication principle to solve. There are different ways to buy the products needed.…

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Q: The number 6 has exactly four different factors: 1,2, 3, and 6. How many different factors does the…

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Q: During the bird flu, if 40 hens and 30 chicks died each day, there would still be 212 hens when all…

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Q: Charles has eight different winter scarves, and he wears three at a time. How many different ways…

A: Given that       Charles has eight different winter scarves and he wears three at a time  We have to…

Q: A political scientist has 12 volunteers for a political opinion survey. And political scientist Alex…

A: GivenNo.of volunteers(n)=12No.of volunteers to complete different variations of the survey(r)=2

Q: A farmer notes that in a field full of cows and ducks there are 35 heads and 92 feet. How many of…

A: It is given that the  field is full of cows and ducks. The total number of heads in the field is…

Q: A large auditorium has 90 rows of seats. The first row has 20 seats, and each succeeding row has 3…

A: Given query is to find number of seats in the auditorium.

Q: A donut store has 10 different types of donuts. You can only buy a bag of 3 of them, where each…

A: A donut store has 10 different types of donuts. You can only buy a bag of 3 of them, where each…

Q: An ice cream parlor offers 28 different flavors of ice cream. One of its items is a bowl consisting…

A: The ice cream parlor offers 28 different flavors of ice cream.

Q: Sally has 2 pairs of shoes, 9 pairs of pants, and 8 shirts. How many different outfits can she make…

A: Sally can make, 2×9×8 = 144 different outfits.    The detailed solution is as follows below:

Q: A disc jockey has 7 songs that he must play in a half-hour period. In how many different ways can he…

A: He can pick first song in 7 ways Second song in 6 ways Third song in 5 ways and so on.7th song in 1…

Q: football team has 11 players on the field at a time. There are 20 total players on the roster. How…

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Q: A student is taking 3 classes, each of which requires 1 book. In how many ways can she stack the 3…

A: The student needs to carry total 3 books.  Now, these 3 books can be stacked/arranged in 3! = 6…

Q: soccer team is playing a game in a stadium. The team fills a total of 592 seats on one side of the…

A: Given query is to find the number of rows used.

Q: There are 4 adult drivers to each teenage driver in a city. If there are 9,952 adult drivers in the…

A: For given conditions we have to find the number of teenager drivers in the city.

Q: A couple that has just had a baby boy has 3 first names chosen out and 4 middles names. If they…

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