A young boy asked his mother to get 6 game cartridges from his selection of 11 arcade and 7 sport games. How many ways are there that his mother will get 4 arcade and 2 sports games?

Q: A street vendor sells six different kinds of fresh fruit: apples, bananas, oranges, pears, kiwis and…

A: Given that , a street vendor sells six different kinds of fresh fruits each worth $1. To find the…

Q: Suppose Ed is going to build a playlist that contains 11 songs. In how many ways can Ed arrange the…

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Q: Find the number of different ways that an instructor can choose 6 students from a class of 12…

A:

Q: Find the number of different ways that an instructor can choose 6 students from a class of 27…

A: Since he will choose a group of 6 students from a group of 27 students, so the arrangement does not…

Q: From 7 engineers and 4 scientists, how many committees of seven people are possible with 5 engineers…

A:

Q: A coat hanger has 4 knobs. If you have 6 different colors of paint available, how many different…

A: Given : A coat hanger has 4 knobs. Each knob can be painted any color(different) . We have 6…

Q: Suppose Allan is going to build a playlist that contains 9 songs. In how many ways can Allan arrange…

A: We have to find number of ways to 9 songs...

Q: The Rosedale Thunders hockey team has 6 players who can play goalie and 8 (different) players who…

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Q: Naia has 4 pairs of shoes (white, black, gray, maroon) and 3 bags (red, blue, green). In how many…

A: Given Naia has 4 pairs of shoes and 3 bags we have to find number of shoe-bag combination.

Q: The national fast food chain Wendy’s advertises that there are 256 ways to personalize a Wendy’s…

A: Given 256  Ways to personalize Wendy’s hamburger

Q: A contractor would like to build 9 houses, each with a different design. In how many ways can he put…

A: A contractor would like to build 9 houses, each with a different design. Assume,  first house is…

Q: There are 4 purple plates and 4 blue plates? How many different ways can the plates be stacked? Two…

A: see the hand written solution:

Q: I am arranging my dog's collars on a 6 hanger coat rack on the wall.  If she has six collars, how…

A: Given that there are 6 hangers and there are 6 collars.  So I can hang the first collar in 6 ways.…

Q: How many 3 card hands are possible with a 28​-card deck? The number of 3 card hands is ___

A: Total cards = 28

Q: A pianist plans to play 7 pieces at a recital. In how many ways can she arrange these pieces in the…

A: Given, A piannist plans to play 7 pieces at a recital then, we have to find the no. of ways to…

Q: An architect designs a theatre with 6 seats in the first row, 7 seats in the second, 8 in the third,…

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Q: a shelf holds 2 english books, 3 history books and 4 math books. In how many ways can you arrange…

A: Given : Number of English books = 2 Number of history books = 3 Number of Maths books = 4

Q: Inside Juyeon’s closet he has 10 pairs of pants, 23 pairs of shirt and, 15 pairs of jacket. How many…

A: Solution:Given  Inside Juyeon’s closet he has 10 pairs of pants, 23 pairs of shirt and, 15 pairs of…

Q: At a restaurant you can choose from 3 appetizers, 8 entrees, and 2 desserts. How many different…

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Q: Suppose Allan is going to build a playlist that contains 12 songs. In how many ways can Allan…

A:

Q: Find the number of different ways that an instructor can choose 6 students from a class of 26…

A: instructor can choose 6 students from a class of26 students.

Q: There are 14 male employees and 9 female employees at a shoe store.  The store manager wants to form…

A: Since he is picking as a team so we will use the combination method because arrangement does not…

Q: A casting director wishes to find one male and one female to cast in his plate if he plans to…

A: Given Male=9 Female=14

Q: How many ways can 4 people sit in a row of 7 chairs? The number of ways 4 people can sit in a row of…

A: Given: number of chair (n)=7 number of people (x)=4

Q: The number of ways a team of 2 players can be chosen out of 6 players is

A: Our Aim is to tell the number of ways a team of 2 players can be chosenout of 6 players is ____

Q: How many different 2 card hands can be dealt from a deck of 52 cards? The order of the cards does…

A: GivenTotal no.of cards in a deck =52

Q: if 1 cup gives 20 servings, and 1/2 cup gives 40 servings, how do i figure out how many servings 3/4…

A:

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: Find the number of different ways that an instructor can choose 6 students from a class of 29…

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Q: A college team plays 8 basketball games during an intramural. In how many ways can the team end the…

A: Permutation of r objects from n objects is when, r number of objects are selected from the n objects…

Q: A pianist plans to play 4 pieces at a recital. In how many ways can she arrange these pieces in the…

A: Factorial of a number:   It is a non-negative integer n which is defined by the product of all…

Q: A team plays 15 games a season. In how many ways can it have 8 wins and 7 losses?

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Q: Find the number of different ways that an instructor can choose 5 students from a class of 13…

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Q: From a league of 20 players, we want to choose 11 players for a football match. A goalkeeper, a…

A:

Q: A bag contains 25 gumballs in total.  There are 6 blue gumballs, 7 green gumballs, 4 red gumballs, 3…

A: Solution: Given information: Total gumballs = 6 blue gumballs +  7 green gumballs + 4 red gumballs +…

Q: how many ways can 3 outfielders and 4 infidlers be chosen from 5 outfeilders and 7 infeilders?

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Q: The Science Club has 20 male and 18 female members. How many different ways can one male and one…

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Q: There are 378 students who enrolled in an introductory engineering course. If there are four boys to…

A:

Q: From a league of 25 players, we want to choose 11 players for a football match. A goalkeeper, a…

A: We have to find correct answer..

Q: Bruce has 5 different jackets, 3 pairs of jeans, and 8 pairs of shoes. In how many ways can he…

A:

Q: Adams School orders 3 cartons of chocolate milk for every 7 students. If there are 581 students in…

A: Please find attachment for the details solution

Q: Find the number of ways in which 6 teachers can be assigned to 4 sections of a math course if no…

A: Solution: 5. From the given information, there are 6 teachers and 4 sections.

Q: Suppose Allan is going to build a playlist that contains 7 songs. In how many ways can Allan arrange…

A:

Q: The number of ways a team of 2 players can be chosen out of 6 players is ______________

A: given a team of 2 players can be chosen out of 6 players and we have to find the numbers of ways…

Q: Suppose Jim is going to build a playlist that contains 9 songs. In how many ways can Jim arrange the…

A: Suppose Jim is going to build a playlist that contains 9 songs.In how many ways can Jim arrange the…

Q: Suppose Aaron is going to build a playlist that contains 14 songs. In how many ways can Aaron…

A: Given,total no.of songs=14

Q: How many ways can 2 people sit in a row of 6 chairs? The number of ways 2 people can sit in a row of…

A:

Q: Find the number of different ways that an instructor can choose 3 students from a class of 22…

A: From the provided information, There are 22 students from which 3 students will be chosen for a…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.