A sales assistant is hanging 12 sweaters on a rack. He has 3 pink sweaters, 4 white sweaters, and 5 gray sweaters. In how many distinct orders can the sweaters be arranged if two sweaters of the same color are considered identical (not distinct)?

Q: How many committees of five can be selected from eight men and seven women if the committees contain…

A: Probability when 2 men can be selected from 8 men = 8C2 Probability when 3 women can be selected…

Q: At the end of the day, a bakery gives everything thatis unsold to food banks for the needy. If it…

A: Consider, Number of apple pies left (n) = 12 Number of food banks (r) = 6

Q: A company has 10 male and 11 female employees, and needs to nominate 3 men and 3 women for the…

A:

Q: A woman has ten skirts and five blouses. Assuming that they all match, how many different…

A:

Q: A sales assistant is hanging 12 sweaters on a rack. He has 3 gray sweaters, 4 brown sweaters, and 5…

A: 3 - grey 4 - brown 5 - black  ... 12 total

Q: Elsa is putting 12 colored light bulbs into a string of lights. There are 3 green light bulbs, 6…

A: Given that     Total number of light bulbs present = 12                                Number  of…

Q: How many different committees can be formed from 10 teachers and 30 students if the committee…

A: From the provided information, the total number of teachers = 10The total number of students = 30

Q: Hans is putting 11 colored light bulbs into a string of lights. There are 5 pink light bulbs, 3…

A: The permutations (number of arrangements) of n things of which p are identical of one kind, q are…

Q: A typist has 5 letters and 5 addressed envelopes. In how many different ways can the letters be…

A:

Q: There are 18 mathematics majors and 325 computer science majors at a college. In how many ways can…

A: The number of ways r items can be chosen from n different items is equal to C(n,r) . The formula for…

Q: A pianist plans to play 9 pieces at a recital. In how many ways can she arrange these pieces in the…

A:

Q: There are four oranges, five pineapples, and t juice using only two fruits of different types. make…

A: Given: Number of oranges = 4 Number of pineapples = 5 Number of mangoes = 3 Total number of fruits =…

Q: How many different committees can be formed from 9 teachers and 33 students if the committee…

A:

Q: A company has 8 male and 7 female employees, and needs to nominate 3 men and 3 women for the company…

A: Number of male employees = 8 Number of female employees = 7

Q: How many different committees consisting of 3 men and 2 Jadies each can be for 3. from a group of 6…

A: Hi! Thank you for the question As per the honor code, We’ll answer the first question since the…

Q: A buyer of a new sedan can custom order the car by choosing from 5 different exterior colors, 3…

A:

Q: A sales assistant is hanging 11 sweaters on a rack. He has 3 brown sweaters, 2 gray sweaters, and 6…

A: From the provided information Total sweaters = 11 Brown sweaters = 3 Gray sweaters = 2 Green…

Q: A sales assistant is hanging 11 sweaters on a rack. He has 5 white sweaters, 4 brown sweaters, and 2…

A:

Q: How many different committees can be formed from 7 teachers and 40 students if the committee…

A: Solution-: Given: Number of teachers =7, Number of students =40 We want to find how many different…

Q: How many ways can a baseball coach arrange the order of 9 batters if there are 13 players in the…

A:

Q: 24. Box A contains 7 balls and box B contains 16 balls. How many different selections of 10 balls…

A: Determine the different selections of 10 balls that can be made. The different selections of 10…

Q: How many ways can 2 students be selected from a group of 5 students if order does not matter?

A: Given information- We have given that we have given a group of 5 students. We have to select 2…

Q: In how many distinct orders can the sweaters be arranged if two sweaters of the same color are…

A: HERE GIVEN , A sales assistant is hanging 11 sweaters on a rack. He has 5 green sweaters, 3 pink…

Q: How many different sets of 6 cards each can be formed from a standard deck of 52 cards?

A: Please find attachment for the details solution

Q: A company has 12 male and 8 female employees, and needs to nominate 3 men and 3 women for the…

A: Solution-: A company has 12 male and 8 female employees and needs to nominate 3 men and 3 women for…

Q: A company has 12 males and 9 female employees, and needs to nominate 2 men and 2 women for the…

A: Determine the number of teams can be formed.   The number of teams that can be formed is…

Q: From 6 female employees and 5 male employees, how many groups of 5 employees can be organized…

A: There are 6 female employees and 5 male employees.

Q: How many formations of committee from 10 persons are possible if the committee consists of one…

A: In this question, the concept of Permutation and Combination is applied. Permutation  Permutations…

Q: A company has 9 male and 7 female employees, and needs to nominate 2 men and 2 women for the company…

A: Combination:         A combination is a selection of all object or part of a set of objects, without…

Q: John is arranging 11 cans of food in a row on a shelf. He has 5 cans of beans, 5 cans of olives, and…

A: Fundamental method of counting is used here.

Q: There are 3 apples, 5 pears and 4 oranges in a basket. If a waiter were to line up these fruits side…

A: There are 3 apples, 5 pears and 4 oranges in a basket. Total fruits = 3+5+4 = 12 n distinct objects…

Q: Troy is putting 13 colored light bulbs into a string of lights. There are three white light bulbs,…

A:

Q: A computer user has downloaded 22 songs using an online file-sharing program and wants to create a…

A: Here, total number of songs, n= 22 Number of songs to be selected, r = 10

Q: A computer user has downloaded 15 songs using an online file sharing program and wants to create a…

A: Given data: Total songs  = 15  13 =  songs to use in his portable CD player  To find: How many…

Q: How many ways can a deck of 52 cards be broken up into a collection of unordered piles of sizes, in…

A: a. Four piles of 13 cards are needed to be selected.  First 13 cards can be selected from 52 cards…

Q: you have 11 tubs of paint how many distinct color groupings can you make with your paint?

A: Total given colors are   11 Total distinct colors grouping   ?   we can solve this question with the…

Q: How many different committees of three persons each can be chosen from a group of twelve people?

A: Combination: A combination is a grouping or subset of items. for a combination, the order not…

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 man has eight shirts and five ties. Assuming that they all match, how many different shirt-and-tie…

A: Given,            A man has eight shirts and five ties.

Q: Jim, Sanjay, Dean, and Shannon found seats in a row at the cinema. In how many different orders can…

A: From the given information, Jim, sanjay, dean and Shannon found seats in a row at the cinema.…

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: Four married couples have reserved eight seats in a row at the   theater, starting at an aisle seat.…

A: As given above there are four married couples have reserved eight seats in a row. The arrangement of…

Q: A sales assistant is hanging 13 sweaters on a rack. He has 3 brown sweaters, 4 purple sweaters, and…

A: Number of sweater in rack = 13 Number of brown sweater = 3 Number of purple = 4 and number of pink…

Q: A group of 8 people, including Betty and Bob, are going to take a group photo. In how many ways can…

A: Number of people in group is 8 .

Q: A sales assistant is hanging 11 sweaters on a rack. He has 5 black sweaters, 4 green sweaters, and 2…

A: Given dataTotal sweaters = 11Black sweaters = 5Green Sweaters = 4White sweaters = 2Total…

Q: Mai is arranging 12 cans of food in a row on a shelf. She has 8 cans of beets, 3 cans of beans, and…

A: There are total 12 cans of food, among which 8 cans are beets, 3 cans are beans and 1 can is olives.

Q: Richard purchased 245 white bouncy balls, 238 yellow bouncy balls, and 84 orange bouncy balls. He…

A: Given that, the number of white balls is 245, the number of yellow balls is 238 and the number of…

Q: A bus has 8 vacant seats in the first rows. If 3 additional passengers enter the bus, in how many…

A: For the number of ways of their seating, we need to use combination.

Q: in how many ways can three classmates oliean, kagan, kelvin , and jet arrange themselves seated in a…

A: To find in how many ways can three classmates oliean, kagan, kelvin , and jet arrange themselves…