An urn contains 3 red balls, 5 green balls, and 2 yellow balls. (a) If you draw 3 balls, in how many different ways can you pick exactly 1 yellow ball? (b) If you pick 4 balls, in how many different ways can you pick at least 2 red balls? (c) If you pick 4 balls, in how many different ways can you pick such that you do not have any green balls?

Q: In how many ways can 6 girls and 3 boys sit on a row of 9 chairs in such a way that no two boys sit…

A: we have to solve given problems:

Q: Taehyung is joining the same flight as Namjoon and Yoongi. In his drawer, there are 7 identical…

A:

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: 3. In a sportsfest consisting of 40 males and 20 female members, if they were to pick 1 team leader,…

A: The number of ways r items can be selected out of n items is defined using the formula, C(n,r) . The…

Q: . A student council consists of 8 students, with 3 women and 5 men. a. In how many ways can a…

A: Q c asked and answered.

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

A: From the above data We are given that Total number of cards = n =52 No of selected cards = r =3

Q: A committee of 4 students is to be made. There are 5 boys and 5 girls available for selection. In…

A:

Q: There are 5 third year and 4 fourth year students qualified to join a contest. In the group…

A: Given that there are 5 third year and 4 fourth year students qualified to join a contest. In the…

Q: 3. A committee of 7 people is to be chosen from a group consisting of 7 men and 9 women. If the…

A:

Q: A bag contains 2 red marbles, 5 blue marbles, and 6 green marbles. A handful of 4 marbles is…

A:

Q: How many ways are there to choose 20 co-op candidates out of 30 students to send to work at the same…

A: For the solution follow the next step.

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: how many ways can Dr. Yes invite 8 of his friends if he has to invite at most 4 at a time?

A:

Q: how many ways can a party of 8 people be seated in a circular table if 3 of them insist on sitting s

A: Given data,In a party there are 8 peoplen=8how many ways can a party of 8 people be seated in a…

Q: 1) A drive-in theater has spaces for 20 cars in the first parking row, 22 in the second, 24 in the…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: In how many ways can six men and five women be arranged in a row if no two women is standing next to…

A: Given,no.of mens=6no.of womens=5total no.of peoples=11

Q: 9. There is a file of 30 soft drink cans in the first bottom row, 29 on the second row, and so on.…

A: Formula:  Sum of first n natural numbers is  1+2+3+....+n= n(n+1)/2. Here total number of cans is  =…

Q: 8. Suppose Jack has 1 red ball, 1 orange ball, 1 blue ball, 1 yellow ball, 1 black ball and 1 green…

A: Given that  Jack has  Red ball = 1 Orange ball = 1 Blue ball  = 1 yellow ball = 1 black ball = 1…

Q: In how many ways can 7 children and 6 mother be arranged in a row so that:  No two children are sit…

A:

Q: In how many ways can a party of 6 people be seated on a row of 6 seats if a certain 2 refuse to sit…

A: Given :A party of 6 people be seated on a row of 6 seats if a certain 2 refuse to sit next to each…

Q: How many different ways can you arrange 10 students (4 students with blonde hair, 2 students with…

A: Total Number of students = 10 Number of students with blonde hair = 4 Number of students with black…

Q: Suppose you choose 9 cards from a standard 52-card deck (with 13 hearts, 13 spades, 13 clubs and 13…

A: A standard 52-card deck contains 13 hearts, 13 spades, 13 clubs and 13 diamonds and probability of…

Q: In how many ways can you seat two children and three adults in a row of five seats if the children…

A: Number of ways of arranging two children       =2! Number of ways of arranging three adults…

Q: A box contains 5 green, 7 yellow, and 10 orange ping pong balls. How many ways can 5 balls be…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Classify the problem as a permutation, a combination, or neither.   At Mr. Furry's Dance Studio,…

A: GivenNo.of men=5No.of women=8

Q: An engineer is putting together a train with 5 box cars, 3 tank cars, and 4 flat cars. For the box…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: A student wants to buy 3 CDs. Assume that they are interested in 4 CDs featuring the piano, 6 CDs…

A: The total number of ways of choosing 3CD's=C313=286 If all the CD's are same that are chosen, then…

Q: How many ways are there to pick 10 pieces of fruits from a fruit hawker who has four types of…

A: Given information: The number of mangoes in the basket are n(M) = 3. The number of peaches in the…

Q: how many ways can four doctors and three nurses be seated in a row if the doctors and nurses are to…

A: Given that :  D represent doctors .  N represents nurses.  Arrangement in which Doctors and Nurses…

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: .There are four couples want to have their dinner in a round table . In how many ways can they…

A: From the given information, there are four couples want to have their dinner in a round table. Note:…

Q: 3. There are 5 doors in a Lecture Hall. In how many ways a student can enter the room through one…

A: Total number of doors in the lecture hall=5

Q: In how many ways can a group of 5 girls be selected from 8 if the eldest girl is included in each…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: An urn contains 8 red balls, 3 green balls, and 1 white ball. Three are drawn simultaneously. Answer…

A: Given information: Number of red balls, r = 8 Number of green balls, g = 3 Number of white balls, w…

Q: In a conference, 3 Thai, 4 Japanese, and 2 Filipinos found themselves grouped together in a…

A:

Q: 1. In your drawer, there are 6 identical pairs of purple socks, 7 identical pairs of polka dot…

A:

Q: 2. In how many ways can six students be seated in a row of six seats if two of the students insist…

A: We have to arrange 6 students on 6 chairs in a row out of which 2 particular students sits beside…

Q: How many ways can a group of 7 blood donors be chosen from 5 type A donors, 5 type O donors, 4 type…

A:

Q: An urn contains 3 red balls, 5 green balls, and 2 yellow balls. (a) If you draw 3 balls, in how many…

A: (a). Identify the number of different ways to pick exactly 1 yellow ball: The number of red balls is…

Q: how many ways can 2 men, 3 women, 4 boys, and 5 girls be selected from 4 men, 5 women, 6 boys and 7…

A:

Q: a town of 3,000 people, 600 are over 50 years of age and 400 are left-handed. It is also known that…

A:

Q: 2. A basketball team of 12 players must be chosen from 18 players. In how many ways can this be done…

A:

Q: 3. In a sportsfest consisting of 40 males and 20 female members, if they were to pick 1 team leader,…

A: A sportsfest consist of 40 males and 20 female members

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

A: NOTE*** As per bartleby guidelines for more than one question asked only first to be answered, send…

Q: In how many ways can a selection of 3 men and 2 women can be made from a group of 5 men and 5 women…

A: First find in how many ways can women and men be chosen.

Q: You want to buy five bottles of soda in order to cater a small get-together at your place. You run…

A: Given that the corner store which has been pillaged by hoarders anticipating a wicked nor'easter,…

Q: Consider a Little League team that has 15 players on its roster. Suppose 6 of the 15 players are…

A: Given information: The total number of players in the team is N = 15. The number of left-handed…

Q: A volleyball team consists of 14 players: There are 6 rookies and the rest of the players are…

A:

Q: In how many ways can 8 people be seated in a row if there are no restrictions on the seating…

A: As per our guidelines, we are allowed to answer three sub-parts only.   1.there are no restrictions…

Q: 32. A track coach must choose a 4-person 400 m relay team and a 4-person 800 m relay team from a…

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.