In how many ways can a bag of three identical balls and four identical coins be formed from a group of 12 balls and 12 coins?

Q: In how many ways can 3 Americans, 4 Frenchmen, 4 Danes and 2 Italians be seated in a row so that…

A: Choose the order of the 4 nationalities in 4! ways. Choose the order of the 3 Americans in 3! ways.…

Q: In how many ways can 5 men and 3 women be arranged in a row if no two women are standing next to one…

A: Number of men in the row is 5. Number of women in the row are 3.

Q: How many ways are there to arrange 12 identical apples and five different oranges in a row so that…

A: Here, arrange 12 identical apples and five different oranges in a row so that no two oranges will…

Q: In how many ways can we arrange 3 boys and 3 girls in a circular table if:  All boys and girls are…

A: Given, 3 boys and 3 girls       To find, In how many ways can we arrange them if all boys and girls…

Q: In how many ways can a commitee of 9 students be chosen from 8 juniors and 10 seniors if there must…

A: Given data: 8 juniors and 10 seniors

Q: In how many ways can 11 people be seated in a row?

A: There are 11 people to be seated in a row with 11 seats Assume that the first person chooses to sit…

Q: 1. In how many ways can 2 red beads, 3 blue beads, 2 yellow beads, and white beads be arranged in a…

A: Ans#1- In how many ways can 2 red beads, 3 blue beads, 2 yellow beads, and white beads…

Q: In how many ways can a hand of 8 diamonds be chosen from an ordinary deck?

A: No.of diamond cards in deck = 13

Q: In how many ways can 12 students be partitioned into 3 teams so that each team has 4 members.

A:

Q: 2. How many ways can a postman post 3 letters in 5 letter boxes?

A:

Q: 3) In how many ways can three bracelets be selected from a box of ten bracelets?

A:

Q: In how many ways can seven people be seated at a round table if 2 particular people must not sit…

A:

Q: An employment agency has 6 temporary workers. In how many ways could 3 of them be assigned to 3…

A: In theory of combinatorics, the way of selecting r objects from n objects with regard to the order…

Q: In how many ways can a hand of 4 diamonds be chosen from an ordinary deck?

A: The combination formula is given by

Q: In how many ways can 3 Americans, 4 Frenchman, 4 Danes and 2 Italians be seated in a row of 13 seats…

A:

Q: In how many ways can 9 individuals be seated in a row of 9 chairs if two individuals wanted to be…

A: Permutation is the method that used to measure the number of arrangement in the data set. In this…

Q: In how many ways can seven people A, B, C, D, E, F and G be seated around a circular table, if A, B,…

A: Hello! As you have posted 4 different questions, we are answering the first question. In case you…

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: In how many ways can a hand of 9 diamonds be chosen from an ordinary​ deck?

A: There are total 13 diamonds in a pack of 52 cards9 diamonds be chosen in 13C9 ways.Required…

Q: In how many ways can eight different DVDs be arranged on a shelf?

A: We need to arrange 8 DVDs

Q: In how many ways can 8 students be seated in a row if three particular students must always be…

A: Given information :- In how many ways can 8 students be seated in a row if three particular students…

Q: In how many ways can you place 9 different books on a shelf if there is space enough for only 5…

A: Given, 9 different books on a shelf and there is space only for 5 books.

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?

A:

Q: In how many ways can a president, a vice president, a secretary and at reasurer be elected from a…

A: Combination only includes number of ways of selection whereas, permutation includes number of ways…

Q: In how many ways can 6 bicycles be parked in a row?

A:

Q: In how many different ways can 9 people arrange themselves in a line to receive service from a…

A: Given information: There are total 9 people arrange themselves in a line to receive service from a…

Q: How many different sets of 6 cards each can be formed from a standard deck of 52 cards?

A: Please find attachment for the details solution

Q: Hello. How do I set up and work out this problem?

A: Given information:The total number of balls is 8.The number of black balls is 4 and the number of…

Q: In how many ways can 16 balls be drawn from an urn containing 3 red balls, 8 white balls, and 5 blue…

A: We have given that,  Red balls = 3  White balls= 8  Blue  balls= 5 Then,  We wil find the how many…

Q: 9. In how many ways can three boys can be seated on five chairs?

A: In question, We'll find the ways in which three boys seated on five chairs. The solution is below,

Q: In how many ways can we seat 7 people at a round table with a certain 3 people side by side?

A:

Q: In how many ways can a person invite 3 out of their 11 closest friends to a dinner party?

A: Given ,        No of closet friends=11

Q: A cargo ship unloaded a shipment of 12 photocopy machines that contains 3 defective units. In how…

A:

Q: In how many ways can three dogs, four cats, four rabbits and two pigs be arranged in a row so that…

A: Given,no.of dogs=3no.of cats=4no.of rabbits=4no.of pigs=2

Q: In how many ways can nine students be partitioned into three teams containing four, three, and two…

A:

Q: in how  many  ways can 5 men and 3 girrls  can be seated  in a round table such that  the   girls…

A:

Q: In how many ways can 9 individual be seated in a row of 9 chairs

A: 9 individuals are needed to be seated in a row of 9 chairs.

Q: In how many ways can five people be divided into two groups of one person and one group of three…

A: Solution: Given data : Total people= 5 people in groups Two groups  of one people One group of three…

Q: In how many ways could 16 people be divided into five groups containing respectively 4,2,3,6 and 1…

A: There are totally 16 people in which divided into five groups containing respectively 4,2,3,6 and 1…

Q: In how many ways can 5 people arrange themselves in a row for picture taking?

A: Given that there are 5 people in a group.

Q: In how many different ways can five books be selected from a twelve-volume set of books?

A: Total books are 12.

Q: 2. In how many ways can the 7 Harry Potter books be arranged shelf? on a

A: The objective is to find the number of ways to arrange 7 Harry Potter books on the shelf.

Q: Refer to a bag containing 20 balls—six red, six green, and eight purple. In how many ways can we…

A:

Q: In how many ways can a group of eight persons arrange themselves around the circular table?

A:

Q: in how many ways can 2 children and 5 adults be seated in a row if the children must be seated at…

A: Given that there are 2 children and 5 adults.

Q: In how many ways can you select a group of 7 red cards and 4 black cards from a deck containing 10…

A: We need to select 7 red cards out of 10 i.e. C(10,7)We need to select 4 black cards out of 9 i.e.…

Q: in how many ways could 17 people be divided into five groups containing respectively 1 2 5 6 and 3…

A: The total number of people is 17.

Q: In how many ways can a committee of three men and four women be formed from a group of eleven men…

A: Given,no.of mens=11no.of womens=10

Q: In how many ways can a teacher arrange 6 students in the front row of a classroom with a total of 20…

A:

Q: In how many ways can 5 starting positions on a basketball team be filled with 8 men who can play any…

A: GivenNo.of Men(n)=8No.of positions(r)=5

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.