An urn contains 8 red balls, 3 green balls, and 1 white ball. Three are drawn simultaneously. Answer the following questions: 1. How many ways can 1 ball of each color be drawn? 2. How many ways can at least 1 green ball be drawn? 3. How many ways can the same color ball be drawn?

Q: 1.A contractor wishes to build 9 houses, each different in design. In how many ways can he place…

A: A permutation is a mathematical technique that determines the number of possible arrangements in a…

Q: During a birthday party, how many ways can five guests, both parents, and the birthday celebrant be…

A: Follow the steps.

Q: 2. In how many ways can 9 persons be seated in a round table with 9 chairs? 3. In how many ways can…

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

Q: how many ways can the 30 members of a company club select a president, a vice president, and a…

A: From the given information we find the solution.

Q: Suppose we want to choose 4 objects, without replacement, from 18 distinct objects. (a) How many…

A: Permutations and combinations

Q: If 5 cards are dealt from a standard deck of cards, how many different ways can three clubs and two…

A:

Q: In how many ways can 3 students from a class of 15 be chosen for a field trip?

A: Total number of students in a class = 15  Number of students chosen for a field trip = 3 The formula…

Q: 1/5 of a class study english and 3/5 study math. If the class consists of 80 students, how many…

A: In this question we need to find out how many students study English and math in the class. total…

Q: If you toss 10 fair coins,in how many ways can you obtain at least one head?

A: Given: 10 fair coins are tossed. We want to calculate the number of ways in which we can obtain at…

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: A bakery has 7 different kinds of donuts (chocolate, boston cream, sprinkle, old fashion, 2. honey…

A: Given: Number of donuts to be purchased by Cindy = 30 Different kinds of donuts = 7

Q: In how many different ways can the director of a research laboratory choose two chemical engineers…

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: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: n a group of 37 children, 28 had a dog, 21 had a cat, and 17 had both a dog and a cat. How many…

A:

Q: Given a deck of 52 playing cards, in how many ways can a hand of 5 cards be dealt such that all are…

A: Given: The total number of cards in a deck is 52. The total number of the numbered cards in a deck…

Q: From a group of 11 Democrats and 9 Republicans, a Social Justice committee of 6 must be chosen…

A: Note: We are required to answer only first 3 subparts, unless specified. Given: Number of Democrats…

Q: How many six-person volleyball teams be made from a group of ten men and three women if: a.There is…

A:

Q: Given a deck of 52 playing cards, in how many ways can a hand of 5 cards be dealt such that exactly…

A:

Q: With six different flags, how many different signals can be sent by placing three flags, one above…

A: There are six different flags.     Number of flags available for first place is =6 Number of flags…

Q: How many ways can Paolo, Rico, Jared, Arnold, Edward, Janna, Victoria, Hazel, Julia, Alice, and Lyka…

A: Given, Male: Paolo, Rico, Jared, Arnold, Edward. Female: Janna,Victoria,Hazel,Julia,Alice,Lyka. So…

Q: 2. In how many different ways can they arrange to give everybody a chance to experience the ride?

A: Number of people=7, number of bike available=4. To find the number of ways of arrangements so that…

Q: In how many ways can 5 men and 5 women be seated at a round table if each woman is to be  between…

A: We have round table and 5 men and 5 women be seated at round table if each women is to be between…

Q: 19.In how many ways can 4 girls and 3 boys be arranged around a camp fire if the 4 girls must be…

A:

Q: How many ways are there to pair 2n people?

A: We need to compute the number of ways in which 2n people can be paired.

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

A:

Q: In how many ways can 5 red and 4 white balls be drawn from a bag containing 10 red and 8 white…

A: It is given that, a bag containing 10 red balls and 8 white balls. From this bag 5 red balls and 4…

Q: An urn contains 6 green balls and 7 red balls. A man selects balls at random without looking at…

A:

Q: In how many ways can 7 women and 7 men partner up for ballroom dancing, if each person has to dance…

A: The number of ways to select r objects from n objects is computed by using the formula of…

Q: In how many ways can a bag of three identical balls and four identical coins be formed from a group…

A: Given: Total number balls =12 Total number coins =12

Q: Before a trial, a jury had to be selected from a group of 12 males and 13 females. a. In how many…

A:

Q: Suppose the group of twelve consists of five men and seven women. a) How many five-person teams can…

A: A group consist of fire men and sexes women. We have to make a fire person team with 3men and 2…

Q: A senate committee has six LP members and three UNA members. In how many ways can they be seated…

A: Given: 6 LP members 3 UNA members. Total = 9 members

Q: 2. In how many ways can 3 men and 4 women be seated on a bench if the women must be seated together?

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

Q: The number of ways of choosing ten students from a class of twenty-five is the same as the number of…

A: So in this we have to find the both then evaluate to see both are same so for this I'm providing…

Q: From a group of 10 men and 5 women, how many committees of size 5 are possible? a.) With no…

A: Given From a group of 10 men and 5 women, how many committees of size 5 are

Q: The number of permutations of n items is also called as _______________.

A: The number of permutations of n items is also called as n! (n Factorial).

Q: 10. If there are 15 people and only 2 chairs are available, in how many ways can they be seated?

A: Explanation: Given that,  Number of people=15 Available chairs=2     Formula Used: Crn=n!r!·(n-r)!

Q: In a survey of 153 pet owners, 74 said they own a dog, and 36 said they own a cat. 5 said they own…

A:

Q: In a class of 15 boys and 10 girls, in how many ways may a committee made up of 3 boys and 2 girls…

A: Given:  15 boys and 10 girls.

Q: In a manufacturing operation, a part is produced by machining, polishing, and painting. If there are…

A: As per guidelines expert gave to answer first question only

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 different choices can be made from 5 red beads, 4 gold beads and 8 blue beads if at least…

A: As per our guidelines we are supposed to answer only one question per post so i am solving first…

Q: In a survey of 94 pet owners, 33 said they own a dog, and 71 said they own a cat. 31 said they own…

A: Given ,  In a survey of 94 pet owners, 33 said they own a dog, and 71 said they own a cat. 31 said…

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

A:

Q: An urn contains 5 red balls, 4 green balls, and 1 white ball. Three are drawn simultaneously. Answer…

A: As per the questionNo of red balls = 5No of green balls = 4No of white balls = 1

Q: A cookie jar contains 10 cookies - 4 are chocolate chip, 3 are almond, 2 are oatmeal and 1 is a high…

A: Answer -  Total cookies = 10  Chocolate chips = 4 almond = 3 oatmeal = 2  high fibre cookie = 1

Q: 2. In how many ways can three singers and four dancers be chosen to make a team if there are seven…

A: We have to find in how many ways three singers and fours dancers be chosen to make a team if there…

Q: In how many ways can you distribute 10 identical balls between Ram, Yuvraj Singh, Mansoor and…

A: Number of way of choosing r objects out of n identical objects =Crn=n!(n-r)!×r!Given:total identical…

Q: Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk,…

A:

Q: 3. A contractor wishes to build 9 houses, each different in design. In how many ways can he place…

A: From the given information, Total number of hoses to be build (n) =9 One side has 6 lots and other…

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.