A teacher bought 20 apples. She wants to distribute the apples to 5 children. However, she decides to keep 7 apples for herself. (a) How many different ways can she distribute the remaining apples to the 5 children? (b) How many different ways can she distribute the remaining apples to the 5 children if each child receives at least 2 apples?

Q: David has bought 4 tickets for a concert. 1 is for himself. The other 3 he will give to 3 friends to…

A: If, there are n items and need to select r items among them, we can select them in Crn=n!r!×(n-r)!…

Q: A group of 10 friends go out for dinner at a fancy dining room and they each leave their hat with an…

A: In the given question we have to calculate the ways by which the hats can be given to each friend.

Q: How many ways can 3 female students and 4 male students be seated on a long bench if the bench can…

A: To accommodate 3 female students and 4 male students, there are so many possibilities like all the…

Q: How many ways are there for 6 people sitting around a circular table to pick from 12 entrees so that…

A:

Q: A student needs 8 more classes to complete her degree. If she has met 5 pre-requisites for all the…

A: A student needs 8 more classes to complete her degree. If she has met 5 pre-requisites for all the…

Q: In the first 11 games of the Edmonton Oilers hockey season the team won 8 games and lost 3 games.…

A:

Q: A salesman lists 12 customers to visit each day. In how many different ways can he visit the…

A: Given, a salesman lists 12 customers to visit each day. The required different ways in which he can…

Q: Apple decided to give an apple watch to the first person in line, an iPhone to the second person in…

A: From the given information, Apple decided to give apple product to all three persons who stand up in…

Q: At the ice cream shop, there are 21 flavors of ice cream available. How many ways can you select a…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: A teacher wants to assign 4 different tasks to her 4 students. In how many possible ways can she do…

A: Solution

Q: girl has 9 skirts, 10 blouses, and 4 pairs of shoes. How many different skirt-blouse-shoe outfits…

A: Given that the girl has 9 skirts, 10 blouses and 4 pairs of shoes.

Q: In a family of cats, there are 2 un-cool cats for every 3 cool cats. If these cats have 120 paws…

A:

Q: A teacher bought 20 apples. She wants to distribute the apples to 5 children. However, she decides…

A:

Q: How many ways can an adviser choose 4 students from a class of 12 if they are all assigned the same…

A: We have to find the number of ways that can an adviser choose 4 students from a class of 12 if they…

Q: A senate committee has 15 members.  If a subcommittee of 6 senators is to be formed from the…

A:

Q: An employee at a store is going to display 8 scented candles in a row on a shelf. He will put one of…

A: Given Information: There are total 8 type of scented candles.

Q: At a benefit​ concert, ten bands have volunteered to perform but there is only enough time for seven…

A: We have to find total possible lineups by permutation.

Q: A teacher is decorating their classroom by placing posters in a row on one wall. The teacher has 7…

A: Explanation: a) Given that,  Choose 5 posters out of 7. P57=7!(7-5)!=7×6×5×4×3=2520

Q: A bag contains 5 apples and 3 oranges. If you select 4 pieces of fruit without looking, how many…

A:

Q: Taehyung is joining the same flight as Namjoon and Yoongi. In his drawer, there are 4 identical…

A:

Q: You have 8 DVDs to place on a shelf, but you only have room for 6 of them. How many different ways…

A: Given,no.of DVDs=8no.of rooms=6

Q: Svetlana flipped a coin 24 times, and got heads more than twelve times as often as tails.  How many…

A: Given Data: The number of times a coin is flipped is: N=24 Let, The number of times got head is H…

Q: Three married couples have bought 6 seats in a row for a concert. In how many ways can they be…

A: The number of arrangement in a row is n!.

Q: On Tuesday, Shanice brought five hats. In Wednesday, half of all the hats that she had were…

A:

Q: How many ways can 7 people be assigned to 1 triple and two double rooms? If only 6 persons will be…

A:

Q: My little brother loves the video “hunting game” he got for Christmas. He gets 2 points for…

A:

Q: I am going to give my 4 nephews and 1 niece some candies. I have a box of 63 similar candies, and I…

A:

Q: Suppose that I have 250 pieces of candy, I randomly pick 15 of them from the bar and so over that 6…

A:

Q: I am going to give my 4 brothers and 1 sister some candies. I have a box of 48 similar candies, and…

A: given that :Since Total number of confections are 48 All out number of siblings and sister are 4+1…

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: There are 5 boys and 5 girls at a party. In how many ways can they be seated in a row if they must…

A:

Q: or this problem, assume that 13 exhibits entered the science fair, and that we want to assign 5…

A: Given Data :  Number of exhibits are 13 in a science fair                        Number of Prizes…

Q: Josh and John’s Ice Cream Shop offers 30 different flavors of ice cream and 9 different toppings.…

A:

Q: For this problem, assume that 13 exhibits entered the science fair and that we want to assign 4…

A: From the provided information, Total exhibits = 13 Total prizes = 4

Q: 2. Assume that you have lots of pennies and nickels and you start arranging them in rows of 8 coins.…

A:

Q: A grocery store has 6 checkout counters and 7 clerks. How many different ways can the 7 clerks be…

A: We have to find number of ways 7 clerks be assigned to 6 counters.

Q: At a charity benefit with 33 people in attendance, three $50 gift certificates are given away as…

A:

Q: How many choices are there for a person to check out 4 CDs from a library that has 20 CDs of his…

A: Given : n = 20 x = 4

Q: A teacher wants to assign 4 different tasks to her 4 students. In how many possible ways can she do…

A: To know how many possible ways can a teacher assign 4 different task to her student, we must use the…

Q: A medical student has to work in a hospital for five days in January.  However, he is not allowed to…

A: there are 31 days in January Out of 31 days , student has to work 5 days therefore the non working…

Q: There are 5 different types of fruits and n different types of vegetables in a grocery shop. If…

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: A teacher bought 20 apples. She wants to distribute the apples to 5 children. However, she decides…

A: As the student wants the answer of 1 (b), so, I will provide the answer to that part only.

Q: 5. The school has case of 144 donut holes and a case of 24 milks. If these are divided evenly among…

A: 5. Given  The school has case of 144 donut holes and a case of 24 milks.

Q: An employee at a store is going to display 9 scented candles in a row on a shelf. He will put one of…

A: The number of ways in which n different objects can be arranged, is given by n!, where,…

Q: How many ways can a photographer arrange 10 friends in a row for a photo if two of the friends are…

A: Given information We have to arrange 10 friends in a row and two friends doesn’t wants to sit…

Q: You baked seven cupcakes of different flavor. In how many ways can you  give two cupcakes each to…

A: Here Given  Total No of cupcakes=7 No of given to each friends=2 No of cupcakes keep with himself=1

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: A retail store is placing 5 mannequins on display side by side. Two of the male mannequins are…

A: There is total 5 mannequins.

Q: For this problem, assume the cooler contains 28 cans, 10 of which are regular, and the rest of which…

A: Note: As per our Honor code policy, we are authorized to answer only three sub parts at a time. So,…

Q: A gamer asks his father to get 5 compact disks (CD) from his collection of 12 arcade and 7 sports…

A: Given There ata 12 arcade and 7 sports game