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

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: Suppose you had 4 red checker pieces and 5 black checker pieces. How many ways can you arrange these…

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Q: Find the number of ways of placing 12 balls in a row given that 5 are red, 3 are green and 4 are…

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Q: The number of possible combinations if r objects are taken from n items is nCr =________.

A: The concept of combination is applied when following conditions are satisfied: a) Repetition is not…

Q: In how many ways can 6 differently shaped blocks be taken to arrange in a cabinet with 4 empty…

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Q: HOW MANY WAYS 4 PIZZA TOPPINGS BE SELECTED FROM A CHOICE OF 12 TOPPINGS CAN BE CHOSEN ONLY ONCE?

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Q: How many ways are there for eight men and five women to stand in a line so that no two women stand…

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Q: ssume that 8 women and 6 men work in a department at a large company. How many ways can a…

A: Combination formula : The number of ways to select r subject from n is determined by using following…

Q: A box contains 8 red balls, 8 blue balls, and 6 orange balls. In how many ways can 6 balls be chosen…

A: Given : A box contains 8 red balls, 8 blue balls, and 6 orange balls

Q: A store sells 8 kinds of balloons with at least 30 of each kind. How many different combinations of…

A: 8 kinds of balloons with at least 30 of each kind We have to find how many different combinations of…

Q: Ewa has 20 balls of four colors: yellow, green, blue and black. 17 of them are not green, 5 are…

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Q: . How many ways can 3 oranges be chosen from a fruit bowl that contains 11 oranges?

A: We are asked to find the number of ways to choose 3 oranges from 11 oranges

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: There are 12 different books on a shelf. In how many ways can we take 4 of these books and put them…

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

Q: A bag contains 6 red balls and 4 white balls. In how many ways can one draw: 2 balls of different…

A: Given data, Number of red balls=6 Number of white balls=4 In how many ways can one draw 2 balls of…

Q: How many ways can 120 unique packages be loaded into 10 delivery trucks where each truck must have…

A: 120 distinct packages have to be distributed equally among the 10 trucks.

Q: How many ways are there to choose 3 applicants from 8 job-seekers for high-paying positions in an…

A: Given information- We have given that in an engineering company 3 positions are there and 8…

Q: How many ways can 3 runners be selected for the Olympics from a field of 5 contestants?

A: Number of ways in which X runners can be selected for the Olympics from a field of N contestants is…

Q: There are 23 guest at your home for a dinner party. In how many ways could the guest arrange…

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Q: How many ways are there to distribute 27 identical jelly beans among three children: a) Without…

A: Given: N=27 total number of jellys r= 3

Q: Consider a Little League team that has 15 players on its roster. How many ways are there to select 9…

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

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Q: How

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

A: Producer Rule: if one event can occur in m ways and a second event can occure in n ways the numbers…

Q: The number of ways to distribute 9 toys to 4 children so that the youngest child receives 3 toys and…

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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: What is the number of ways to color n objects with 3 colors if every color must be used at least…

A: Given that there are n objects and 3 colors.   The three colors must be used at least once. That is,…

Q: There are 10 guest at your home for a dinner party. In how many ways could the guests arrange…

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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: Determine the number of ways such that 5 men and 5 women be seated at a round table if no two women…

A: No. of men = 5  No. of women = 5

Q: Find the number of permutations using 4 different letters a, b, c, and d, if they are taken 2 at a…

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Q: You are ordering an extra large pizza with multiple toppings on it. In how many ways can 8 different…

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Q: There are 5 boys and 4 girls. How many different ways are there to arrange these 9 persons in a row…

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Q: how many ways are there to distribute 20 cookies to 4 students so that no student gest more than 6…

A: We see this problem in a different way, so that we can use Stars and Bars method. By Stars and Bars…

Q: How many combinations are there of 26 letters taken items taken 2 at a time ?

A: The number of combinations  = nCr n : number of options available r : number of options to be…

Q: How many ways can 3 red bulbs, 4 yellow bulbs, and 5 green bulbs be arranged in an electric wire…

A: Given, Let n1 be the 3 red bulbs Let n2 be the 4 yellow bulbs Let n3 be the 5 green bulbs and there…

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

A: Total number of boxes = 6  Total number of balls = 8 Total number of ways of arranging 8 balls…

Q: How many ways can 7 people fall in line if 2 persons doesn’t want to be seated next to each other?

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Q: the chairperson who must select a subcommittee but assume that the committee consists of 11 people…

A: There are total 11 people including the chairperson. 1 chairperson is to be selected at first. The…

Q: In the Electronic shop Illektrooneeq, TV set can be purchased in any of 4 different sizes, in any of…

A: Given Information: In the Electronic shop, TV set can be purchased in any of 4 different sizes, in…

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: how many ways can a group of 4 boys be selected from 9 boys?

A: We have to select 4 boys from 9 boys

Q: How many ways are there to distribute 6 different books among 13 children if no child gets more than…

A: Given: 6 different  are to be distributed among 13 children so that no child gets more than 1 book

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: What are 2 ways to obtain 1 jug with exactly 4 units of water?

A: Given: There are three jugs. 5 unit jug, 3 unit jug, and an emply jug. To determine: 2 ways to…

Q: How many ways can a committee of 2 be selected from a club with 12 members?

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Q: Three adults and five children are seated randomly in a row, then how many ways can this be done?

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Q: In how many ways can you take 3 letters from the alphabet (lower-case only) such that any character…

A: Here AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION PLZ REPOST FOR REMAINING PARTS

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.