A bag contains 7 black and 6 white balls. In how many ways can we draw from the bag groups of balls involving at least 4 black balls?

Q: A jar contains 5 white balls, 8 black balls, and 6 red balls. In how many ways can 5 balls be…

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Q: How many ways are there to distribute eight balls into six distinct boxes with at least one ball in…

A: The balls are identical. In this case there are 8 balls and 6 boxes to be placed, so each box can be…

Q: From a group of 7 men and 6 women in a firm, five persons are to be selected to form a committee for…

A: GivenNumber of men in a firm = 7Number of women in a firm = 6Number of people to be selected in a…

Q: A team of 7 players is to be selected from a group of 13 people. In how many ways can this be done?

A: Given data  A team of 7 players is to be selected from group of 13 people No of ways can be this…

Q: If a dealer randomly picks 5 cards from a standard deck that consists of 52 playing cards and then…

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Q: From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at…

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Q: A bag contains 5 black and 8 white balls. In how many ways can we draw from the bag groups of balls…

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Q: Find the number of combinations that can be drawn without replacement by pulling 2 balls from a set…

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Q: The football team consists of 15 members. In how many ways can a playing team of 11 players be…

A: = 1365Hence, there are 1365 ways to form a football team with 11 players from 15 players.

Q: Among a set of 5 black balls and 3 red balls, how many selections of 5 balls can be made such that…

A: From the given information, there are 5 black balls and 3 red balls. Total number of balls is 5+3=8…

Q: As the project manager of a project, you are in charge of a team of seven people which includes…

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Q: A box contain 8 red and 6 green balls. In how many ways can 3 balls be drawn such that 2 is red and…

A: GivenA box containNo.of red balls = 8No.of green balls = 6Total no.of balls = 14

Q: How many ways are there to place 13 identical red balls into 7 numbered bins?

A: Given Data: The total number of red balls is: n=13 The total number of bins is: r=7 The number of…

Q: A bag contains 5 black and 10 white balls. In how many ways can we draw from the bag groups of 5…

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Q: From 6 gentleman and 4 ladies, a committee of 5 is to be formed. In how many ways can this be done,…

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Q: With 20 people seated around a tabke, how many ways can 3 people be selected without any being…

A: It is given that there are 20 people seated around a table. The total number of ways of selecting 3…

Q: A box contain 8 red and 6 green balls. In how many ways can 3 balls be drawn such that they are all…

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Q: How many groups can be formed from 8 studenta taking at least 2 at a time?

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Q: If 4 marbles are picked randomly from a basket containing 5 blue marbles and 8 yellow marbles, in…

A: This is the problem of combinatorial.

Q: How many ways are there to put 5 balls in 2 boxes if the balls are distinguishable and the boxes are…

A: Total number of distinct boxes=n=2 Total number of distinct balls=r=5

Q: A committee of 5 delegates is to be chosen from a group of 17 delgates, 10 of whom are women. If at…

A: If an event can be done in n different ways and if another even can be done in m number of ways,…

Q: A bag contains 7 black and 4 white balls. In how many ways can we draw from the bag groups of 5…

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Q: In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

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Q: A shipment of 9 television sets includes three that are defective. In how many ways can a hotel…

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Q: If you put 10 balls randomly into 12 boxes is it guaranteed no box will contain more than one ball?…

A: The number of ways 10 balls can be put into 12 boxes = 12×12×⋯×12 = 1210 Now, the number of ways no…

Q: A bag contains 7 black and 6 white balls. In how many ways can we draw from the bag groups of 5…

A: Given a bag contains 7 black and 6 white ballsTotal=7+6=13 ballsHow many ways can be draw 5 balls…

Q: Suppose 8 red marbles are to be put into 10 numbered boxes with any number per box. In how many ways…

A: Given are 8 red marbles, let's denote them as R1, R2,R3,R4,R5,R6,R7 and R8 Also, there are 10 boxes,…

Q: Suppose that 175 heads and 225 tails resulted from 400 tosses of a coin. Does this appear to be a…

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Q: There are 20 total members in a club. 15 are on team blue, 5 are on team red. How many distinct…

A: It is given that there are totally 20 members in a club in which 15 are on team blue, 5 are on team…

Q: How many Hokey teams of 6 players can be formed from 14 players without regard to position played?

A: Given ,no.of hokey players =14

Q: If a board has 5 women and 4 men. How many ways can you form a committee containing 3 members such…

A: Given that a board has 5 women and 4 men. Now we want to form a committee containing 3 members such…

Q: In how many ways can 8 books be choosen from a group of nine?

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Q: Among a set of 5 black balls and 5 red balls, how many selections of 5 balls can be made such that…

A: From the given information, there are 5 black balls and 3 red balls. Total number of balls is 5+3=8…

Q: In how many way, can a manager arrange 16 employees into 8 groups

A: Combination is a collection of the objects where the order does not matter

Q: A particular brand of shirt comes in 12 colors, has a male version and a female version, and comes…

A: Here , particular brand of shirt comes in 12 colors. It has female version and male version. And it…

Q: A club has 11 members. Five are to be chosen to go as a group to a national meeting. If the club…

A: The total members in the club is 11. Of them, 7 are men and 4 are women. The main objective is to…

Q: A bag contains 7 black and 9 white balls. In how many ways can we draw from the bag groups of 4…

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Q: A contractor builds homes of 9 different models and presently has 3 lots to build on. In how many…

A: We have to find no. Of ways..

Q: A shipment of 14 television sets includes three that are defective. In how many ways can a hotel…

A: As per our guidelines we suppose to do only one question1.GivenNo.of television =14No.of defective…

Q: In how many way, can a manager arrange 15 employees into 3 groups

A: Number of ways = 15C3

Q: A box contains 4 black, 2 red and 3 white marbles. In which of the following ways is it correct to…

A: Given: A box contains 4 black, 2 red, and 3 white marbles, and 4 balls are selected from this box. 4…

Q: There are 10 participants to a barangay meeting to talk about safety measures to be implemented…

A: Here the total number of participants = 10 It is needed to arrange them in row , where , three of…

Q: In how many ways can 7 black and 7 white balls be distributed into 7 boxes so that there are exactly…

A: Given : 7 black and 7 white balls 7 B , 7 W Given boxes = 7  there are exactly 2 balls in each box…

Q: A contractor builds homes of  11 different models and presently has 6 lots to build on. In how many…

A: We have to find the different ways can he arrange homes on these 6 lots...

Q: A license plate begins with three letters. If the possible letters are A, B, C, D and E, how many…

A: Permutation is used to find the possible arrangements in an experiment where the order of…

Q: A firm is considering expanding into 5 of 14 possible cities. How many different groups of 5 cities…

A: The combination formula is nCx = n! /(n-x)! x!

Q: If you have 12 boxes then how many balls do you have to put randomly into the boxes in order to…

A: Given that, We are having 12 boxes. In order to have atleast 4 balls in each box when a random box…

Q: A bag contains 7 black and 6 white balls. In how many ways can we draw from the bag groups of 5…

A:

Q: Suppose a group of eleven people consists of five men and six women. How many committee of of…

A: From the provided information, A group of 11 people consists 5 men and 6 women. A committee of 5…

Q: A bag contains 5 black and 4 white balls. In how many ways can we draw from the bag groups of 3…

A:

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.