A bag contains three red marbles, one green one, one lavender one, three yellows, and three orange marbles.  How many sets of four marbles include none of the red ones?

Q: A bag contains three red marbles, two green ones, one lavender one, three yellows, and three orange…

A: At most one of the yellow ones means 0 or 1 yellow ones. There are 3 yellow marbles.  And…

Q: A bag contains three red marbles, five green ones, one lavender one, four yellows, and three orange…

A:

Q: How many ways can a delegation of 4 Republicans, 3 Democrats, and 3 Independents be selected from a…

A: Given data Number of Republicans = 9 Number of Democrats = 9 Number of Independent = 4

Q: How many different teams of 44 can be chosen from a group of 1818 children and 1515 adults if each…

A: It is given that the number of children is 18 and the number of adults is 15.

Q: A restaurant offers 7 choices of main course, 8 sides, 5 appetizers, 7 beverages, and 3 desserts.…

A: Main course  = 7 Sides = 8 Appetizers = 5 Beverages =7 Desserts = 3 We have to find the total number…

Q: How many different teams of 4 can be chosen from a group of 15 children and 17 adults if each team…

A: According to provided data, there is total of 15 children (C) and 17 adults (A). Therefore, the…

Q: A bag contains 2 red marbles, 5 green ones, 1 lavender one, 5 yellows, and 3 orange marbles.  How…

A: Since we are making set, so the order will not matter.   If we select the lavender one, then we can…

Q: A class of 50 students consists of twenty four boys and 26.how many different ways can 5 students be…

A: Given: A class of 50 students with 24 boys and 26 girls are there. Now ,total of 5 students are…

Q: A basketball team consist of two centers, five forwards and four guards. In how many ways can the…

A:

Q: If 3 Americans, 4 British people and 2 French people are to be seated in a row, how many seating…

A:

Q: A college awarded 38 medals in football, 15 in basketball and 20 incricket. If these medals went to…

A: Let F, B, C be the sets of the students who received medals in football, basketball and cricket…

Q: A club with five members is to choose three​ officers: ​ president, vice-president, and​…

A:

Q: The Senate in a certain state is comprised of 53 Republicans, 44 ​Democrats, and 33 Independents.…

A: The number of ways to select 33 Republicans is 53C33.The number of ways to select 22 Democrats is…

Q: If there are 12 teams in a basketball tournament and each team must play every other team in the…

A: The given question requires number of pairs between two teams. Note that if team A and team B are…

Q: A club has 21 sophomores and 13 freshmen president, secretary, and a committee of four, what is…

A: so it can be solve by using

Q: How many different ways can the golf pro at a golf club select a foursome consisting of 1 man and 3…

A: Given,   Number of males = 8 Number of females = 11   The objective is to find how many different…

Q: The table d'hote (complete meal) at a french restaurant consists of a salad, enree, and a dessert.…

A: There are 2 salad choices, 5 entrée choices, and 3 dessert choices.

Q: If a team of four players must be made from eight boys and six girls, how many teams can be made if…

A: 1. There are eight boys and six girls, totally there are 14 players. A team of four player. The…

Q: A buffet has 7 main dishes and 4 desserts. How many different combinations can one choose, if one…

A: Find the number of different combinations can one choose if one takes at least 1 and at most 3 main…

Q: In a class, there are 4 students majoring in computer science, 9 students majoring information…

A:

Q: A produce stand sells only broccoli, carrots, and okra. One day the stand served 407 people. If 114…

A: Given that the stand served 407 people, so sample space, n(S)=407 114 people purchased broccoli,…

Q: A bag contains 4 red marbles, 3 green ones, 1 lavender one, 3 yellows, and 2 orange marbles. How…

A: Since it is set so order does not matter. we will use combination method At least three means 3 or 4…

Q: A bag contains two red marbles, two green ones, one lavender one, three yellows, and four orange…

A: A bag contains  2 Red marbles 2 Green marbles 1 Lavender marble 3 Yellow marbles 4 orange marbles

Q: An equestrian club has seven members. If the club wants to select a president, vice president, and…

A:

Q: How many ways can a delegation of 5 Republicans, 5 Democrats, and 2 Independents be selected from a…

A: As we need to choose any 5 republicans from a group of 7 republicans, so we have 7C5 possible ways.

Q: A family has nine children. If this family has exactly five boys​, how many different birth and…

A: Given,A family has 9 childrens

Q: The Senate in a certain state is comprised of 53​ Republicans, 44 Democrats, and 33 Indeependents.…

A: The number of ways to select 33 Republicans is 53C33.The number of ways to select 22 Democrats is…

Q: A club consists of 10 men and 13 women. In how many ways can they choose a president, vice…

A: Question is solved.

Q: A president, vice president, and 2 at-large members are selected for a school council from 7 people.…

A: It is given that 4 persons (a president, vice president, 2 at-large members) are selected for a…

Q: An executive as 8 skirts, 8 jackets, and 10 blouses that all coordinate. If an outfit consists of…

A: Given, Number of skirts=8 Number of jackets=8 Number of blouses=10 An outfit consists of 1 skirt, 1…

Q: A bag contains 3 red marbles, 2 green ones, 1 lavender one, 2 yellows, and 2 orange marbles.  How…

A:

Q: A bag contains four red marbles, two green ones, one lavender one, three yellows, and three orange…

A: Solution

Q: A sock drawer contains 3 black socks, 4 blue socks, and 7 brown socks. If you pick socks from the…

A: Since you have posted a multiple question ,I will solve the first question  for you. To get…

Q: A teacher has 24 colored pencils and 18 pictures to be placed in groups with the same number of…

A: Question 3:             It is given that a teacher has 24 colored pencils and 18 pictures. The…

Q: A large pile of coins consists of pennies, nickels, dimes, and quarters (at least 20 of each). How…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: A man has eight shirts and three ties. Assuming that they all match, how many different…

A: Given that, Man has 8 shirts and 3 ties How many different combinations can he wear?

Q: A bag contains four red marbles, three green ones, one lavender one, three yellows, and three orange…

A: There are number of marbles in bag: Number of red marbles: 4 Number of green marbles: 3  Number of…

Q: A bag contains three red marbles, three green ones, one lavender one, two yellows, and three orange…

A: Solution: Given information: Red marbles = 3 Green marbles = 3  Lavender  marble = 1 Yellow marble =…

Q: In how many ways can a subcommittee of eight be chosen from a Senate committee of seven Democrats…

A: We have to find In how many ways can a subcommittee of eight be chosen from a Senate committee of…

Q: A bag contains three red marbles, three green ones, one lavender, two yellows, and three orange…

A: Solution: From the given information, a bag contains three red marbles, three green ones, one…

Q: A bag contains four red marbles, three green ones, one lavender one, three yellows, and two orange…

A: A bag contains four red marbles, three green ones, one lavender one, three yellows, and two orange…

Q: How many different meals are possible from a menu if you choose one each of 5 appetizers, 4 entrées,…

A: Given data : Number of appetizers= 5 Number of entrees= 4 Number of desserts= 3 Number of beverages=…

Q: A bag contains three red marbles, two green ones, one lavender one, two yellows, and three orange…

A: It is given that there are three red marbles, two green marbles, one lavender marbles, two yellow…

Q: A bag contains 5 red marbles, 2 green ones, 1 lavender one, 2 yellows, and 3 orange marbles.  How…

A: Since we will make sets, so order does not matter. So we will use combination.  Atmost one of the…

Q: A fast-food restaurant offers a special luncheon menu consisting of a sandwich, French fries, and a…

A: Given, A fast-food restaurant offers a special luncheon menu consisting of a sandwich, French fries,…

Q: how many teams can be made if they must all be boys?

A:

Q: Suppose an outfit consists of a shirt, pants, and shoes. If you have 4 shirts, 7 pairs of pants and…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: A bag contains three red marbles, two green ones, one lavender one, two yellows and orange marbles.…

A: Consider the provided statement of the question,Here given, a bag contains,3 red marbles, 2 green, 1…

Q: A veterinarian surveys 28 of his patrons.  He discovers that 12 have dogs, 10 have cats, and 6 have…

A:

Q: A teacher and his eleven students are standing in a single file line waiting to enter the cafeteria…

A: We have given that a teacher and his eleven students are standing in a single file line waiting to…