In a classroom there are 28 tablets which include 5 that are defective. If seven tablets are chosen at random to be used by student groups, how many total selections can be made?

Q: If there are 57 cards in a deck and 12 are dealt to each student, how many 12 card possibilities are…

A: Combination Rule:The arrangement of r objects from n different objects is given by:

Q: When you buy a one-dollar ticket for a state's lottery, you are trying to match 5 numbers drawn from…

A: Match 5 numbers from 45 numbers in any order without replacement to win. Total possible winning…

Q: There are 22 students in a fraternity. In how many ways can a committee of 6 students be selected?…

A: Given that Number of students=22 Number of students selected=6

Q: There are 19 finalists in a singing competition. The top four singers receive prizes. How many ways…

A: There are 19 finalist in the singing competition. Top 4 singers receives prizes. The number of ways…

Q: There are 5 defective light bulbs in a bin containing 60 light bulbs. How many ways can you select…

A:

Q: In a random sample of 100 scholars, 47 scholars selected King for Vice President . If the total…

A:

Q: nvironmental agency will randomly select 4 houses from a block containing 25 houses for a random…

A: Given data, An environmental agency will randomly select 4 houses from a block containing 25 houses…

Q: Four members from a 14 members committee are to be randomly selected to serve as a Chair, a…

A: The number of members is 14.

Q: The 14 teams in the local Little League are listed in the newspaper. How many listings are possible?

A: In this case, there are 14 teams in the local little league.

Q: Suppose it is known that a box of 24 light bulbs contains five defective bulbs. A customer randomly…

A: Given data ,Total no of light bulbs=24No of defective bulbs=5∴No of non-defective…

Q: A student organization of 12 wants to select a president, a vice-president, and a treasurer. How…

A: A student organization of 12 wants to select a president, a vice president, and a treasurer.i.e.…

Q: How many ways are there to pick a five-person basketball team from 12 possible players? How many…

A:

Q: A company has 42 employees. How many different ways can 7 people be chosen to serve on a committee…

A: We can choose the 7 persons in 42C7 ways  Where 7 people are chosen then there are (42-7)=35 people…

Q: Suppose that a cookies shop has four varieties of flavour of cookies. How many different ways can 8…

A: Given: A cookie shop has four varieties of the flavour of cookies. Number of choices to select one…

Q: A coffee shop serves 14 different kinds of coffee drinks. How many ways can 5 different coffee…

A: The objective is to find the number of ways in which 5 different coffee drinks can be selected from…

Q: There are 29 students in a homeroom. How many different ways can they be chosen to be elected…

A: Given,Total no.of students=29

Q: There are 10 different software packages from which to select. How many different groups of software…

A: Given: n=10 r = 3 The number of different groups of software packages that can be selected can be…

Q: The Cincinnati Angry Unicorns is a local swimming team which currently has seventeen members. If…

A:

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: student organization of 40 wants needs three people to cover ticket sales at an event. How many…

A: Given n=40 x=3

Q: A bag of 10 apples contains 3 rotten apples and 7 good apples. A shopper selects a sample of 4…

A: The problem is asking us to find the number of ways to select 4 apples from a bag of 10 apples, such…

Q: A baseball team has 14 players. How many 9​-player batting orders are​ possible?

A: Given : A baseball team has 14 players.

Q: There are 32 different cards in a deck for playing Twenty-Nine. The cards are distributed equally…

A: As 32 cards are distributed equally among four players, the numbers of cards on each player is…

Q: A four-person committee is to be selected from an organization’s membership of 12 people.  How many…

A:

Q: A school group is deciding how to line up its 10 members for a photo. The president will go first.…

A:

Q: Find the number of different ways that 995 contestants can win different first, second and third…

A: Given information- We have given that there are 995 contestants. We have to find the number of…

Q: In a classroom there are 28 tablets which includes 5 that are defective. If seven tablets are chosen…

A: No.of defective tablets=5No.of non defective tablets=23

Q: A baseball team has 13   players. How many 9​-player batting orders are​ possible?

A:

Q: A researcher wanted to test eight specific drugs and he had enough animals to test five drugs. How…

A: It is an important part of statistics. It is widely used.

Q: A pizza restaurant has 11 toppings. How many different 4 topping pizzas could be made

A:

Q: 40 yellow balls and 40 blue balls are in a single bag. If 5 random balls would be selected,…

A: Given data: 40 yellow balls and 40 blue balls are in a single bag. If 5 random balls would be…

Q: A salesperson wants to display five bracelets in the store window. There are a total of nine…

A: Total no.of bracelets=9

Q: How many different 4-people committees can be chosen from 8 people?

A:

Q: From 5 men and 4 women, how many committees can be selected consisting of: - 3 men and 2 women? - 5…

A: Solution: Given information: 5 men  4 women.   3 men can be selected from 5 men in 5C3 ways.  and 2…