4) a) 10 samples of different pastries are on display as customers leave a bakery, they are told that they can choose any 4 samples. How many different selections can a customer make? b) The following day 5 drink samples are added and customers are told that they can take 4 pastries samples and 2 drink samples. How many different selections can the customer now make?

Q: During a birthday party, how many ways can five guests, both parents, and the birthday celebrant be…

A: Follow the steps.

Q: How many ways can 6 boys stand in a line if a certain boy must come first?

A:

Q: h) How many ways can someone pick out who they think will finish 1st and 2nd in a car race with 8…

A: By using permutation and combination

Q: In how many ways can 4 pizza toppings be chosen from 12 available toppings?

A:

Q: How many ways are there to distribute 9 cookies to 4 children.

A: Solution:

Q: From the 10 male and 9 female sales representatives for an insurance​ company, a team of 2 men and 3…

A: GivenNo.of males=10No.of females=9Total no.of peoples=19

Q: A student must answer 3 out of 5 essay questions on a test. In how many different ways can the…

A: A student must answer 3 out of 5 essay questions on a test. In how many different ways can the…

Q: At a ballroom dance lesson, the instructor chooses 3 men and 3 women to demonstrate a new pattern.…

A: There are 9 women and 7 men in the class, the instructor chooses 3 men and 3 women to demonstrate a…

Q: How many ways are there to choose first, second, and third prizes in an art contest with 18 entries?

A: Introduction:According to the permutation rule, if r distinct items are to be chosen from n items…

Q: A professor has a class with four recitation groups.  Each section has 7 students.  Determine…

A: Given A professor has a class with four recitation groups.  Each section has 7 students. We should…

Q: You are ordering an extra large pizza with multiple toppings on it. In how many ways can 6 different…

A:

Q: . How many ways can you order 2 blue marbles, 4 red marbles and 5 green marbles? Marbles of

A:

Q: You are choosing 4 flavors of ice cream from a selection of 30 different flavors. How many choices…

A: Given that n = 30,  r = 4 Find how many chances.

Q: From the 9 male and 6 female sales representatives for an insurance​ company, a team of 4 men and 3…

A:

Q: There are 10 people in a meeting. In how many ways can you arrange your participants around a ROUND…

A: Total ways in which 10 people be arranged around a round table so that 4 people sit beside each…

Q: In a survey of 1000 students it was found that 840 own a cell phone, 450 own an MP3 player and 370…

A:

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: 10. Suppose that 5 teachers and 8 students volunteered to be on a graduation committee. The…

A: Given that  Teachers = 5 , Students = 8 Committee consists 2 teachers and 3 students  Note : nCr =…

Q: Proble: 2. A tank initially contains 300 liters of brine with 80 kg of dissolved salt. Brine…

A:

Q: A small company of 30 employees needs to choose 6 people to plan out their annual holiday party Each…

A: A small company of 30 employees needs to choose 6 people to plan out their annual holiday party.

Q: A professor has a class with four recitation groups.  Each section has 7 students.  Determine…

A: Given The data is as follows: Group 1 Group 2 Group 3 Group 4 88.8 83.7 77.1 84.4 90.6 70.7…

Q: In a survey of 104 pet owners, 19 said they own a dog, and 52 said they own a cat. 15 said they own…

A: GivenTotal no.of pet owners=104No.of owners own a dog=19No.of owners own a cat=52No.of owners bot a…

Q: 2. Your friend Carlos brought over 10 videos. Together, you choose 4 of them to watch. How many…

A:

Q: in how many ways can the 20 children in a third-grade class be paired up for a trip to the museum?

A: Given that, There are 20 children and we need to make them as pairs.