4. A bag of marbles consists of 3 red, 3 blue 2 yellow, 1 orange, and 1 pink. If you reach in and grab a group of 5 marbles, how many groups will have: a. all of the yellow ones b. at least one yellow c. one marble of each type

Q: How many five-card poker hands containing exactly one pair are possible from a deck of 52 cards?

A: five-card poker hands containing exactly one pair are possible from a deck of 52 cards:

Q: Suppose that a candy shop sells eight different kinds of candies: 50 cherry, 50 strawberry, 40…

A: Total number of candies = 310 Number of candies to be selected = 7

Q: 3) 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: Given,             A group of 5 men and 2 women be made out of a total of 7 men and 3 ways.

Q: 4) A newly formed company of 24 partners wants to select a President, Vice-President and Secretary.…

A: This Problem can be solved by permutation and combination. Permutation is number of possible…

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: In how many ways can a committee of five men and four women be formed from a group of six men and…

A: The number of ways can a committee of five men is 6C5.The number of ways can a committee of four…

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 class consisting of 12 CE majors, 10 ECE majors, and 9 ME majors, in how many ways can a…

A: From a class consisting of 12 CE majors, 10 ECE majors, and 9 ME majors. We want to consist group of…

Q: A committee of 5 students is to be selected from 16 students in a fraternity. a. In how many ways…

A: Given that a committee of 5 students is to be selected from 16 students in a fraternity. a We have…

Q: 4. A club has 25 members. In how many ways can the President, Vice- President, Secretary, and…

A: As you have asked many questions. As per the answering guidelines we will solve first question only.…

Q: In a survey of students about favorite sports, the results include 21 who like tennis, 31 who like…

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: In a survey of 251 professional athletes, it was found that 125 of them owned a convertible, 99 of…

A: Let us denote C=convertible, T=giant screen TV, S=sporting good storeGiven that:n(C)=125, n(T)=99,…

Q: 15. How many different arrangements of ten cars in order are possible in a parking lot that is made…

A: Answer:

Q: 10 - In a group of 30 people, 15 run, 13 swim, 13 cycle, 5 run and swim, 8 cycle and swim, 9 run and…

A: given in a group of 30 people , 15 run , 13 swim , 13 cycle , 5 run and swim , 8 cycle and swim , 9…

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: A committee of size 6 is being formed from a group of 10 Republicans, 8 Democrats and 4…

A:

Q: 9. How many unique combinations of monsters can a small monster collector capture, if that…

A: Let the number of earth, fire, ice and steam type small monsters caught be X, Y, Z and K…

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

A: Given, A group of 6 men and 9 women. To find: Number of ways to formed a committee of 3 men and 2…

Q: A club has seven members. Three are to be chosen as a group to a national meeting. A) If the club…

A: Given that, There are Seven members in a club who need to participate in a national meeting in…

Q: A group of 150 tourists planned to visit East Africa. Among them, 3 fall ill and did not come, of…

A: Consider the provided question, First draw the Venn diagram according to the given question, Let K…

Q: 1. In how many ways can a committee consisting of 3 men and 2 women be chosen from 7 men and 5…

A:

Q: Thirty - nine cities were researched to determine whether they had a professional sports team , a…

A: Hint: Use Van Diagram.

Q: 39. How many groups can be formed from  8 students taking at least 2 at a time?

A:

Q: In a survey of 105 people, it was found that 40 have lived only in New York, 35 have lived only in…

A: Given, In a survey of 105 people, it was found that 40 have lived only in New York,  35 have lived…

Q: 10. In how many ways can we select a group of 2 men and 3 women out of three men and four women…

A: Determine the number of ways in which 2 men and 3 women out of three men and four women can be…

Q: how many ways are there if a teacher has to select 2 students from a group of of four to represent…

A:

Q: In how many ways can a committee of three men and four women be formed from a group of 10 men and 10…

A:

Q: Given 9 different types. of ice cream: 4 with chocolate chip, 4 with sprinkles, and 3 with both, how…

A: solution:Given9 different type of icecreamchocolate chips=4sprinkles=4chocolate chips and sprinkles…

Q: How many people used two modes of transportation if 1978 took public transit, 1494 drove, 818…

A: Given Information: People who took public transit = 1978 People who drove = 1494  People who cycled…

Q: Suppose a group of twelve (12) people consists of five (5) men and seven (7) women. How many…

A:

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: Consider a shipment of 50 laptops of which four are defective. A. In how many ways can we select…

A:

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 six pictures be selected from a group of ten different pictures?

A: It is given that 6 different pictures are to be selected from a group of 10 pictures, therefore,

Q: A committee of size 5 is to be chosen from a group of 6 men and 7 women. (a) How many different…

A: Given that 6 men and 7 women. Total people = 6 + 7 = 13

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 a group of 4 people, is it possible for each person to have exactly 3 friends? Why?

A: Let G be a graph with 4 vertices, one vertex representing each person in the group. Join two…

Q: A shipment of 14 television sets includes three that are defective. In how many ways can a hotel…

A: As per our guidelines we suppose to do only one question1.GivenNo.of television =14No.of defective…

Q: A club has 13 women and 7 men. They decided that at leats two women should represent them on the…

A:

Q: Given a class of 12 girls and 10 boys. In how many ways can a committee of five consisting of at…

A: Given aclass of 12 girls and 10 biys

Q: In a survey of 1000 households, 275 owned a home computer. 455 a video, 405 two cars, and 265…

A: Answer 3 :

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

A: In how many ways can a committee of two men and three women be formed from a group of nine men and…

Q: Suppose that thirty-two students signed up for classes during an orientation session. If exactly…

A: Given Total number of students signed up for the classes during an orientation session = 32 Exactly…

Q: in how many ways can 2 men, 4 women, 3 boys, and 3 girls be selected from 6 men, 8 women, 4 boys,…

A: Ans# Given 6 man, 8 women, 4 boys and 5 girls.          How many ways can 2 men, 4 women, 3 boys and…

Q: In how many ways can a committee of 4 men and 5 women be formed from a group of 12 men and 8 ​women?

A: nCr=n!r!(n-r)!

Q: 15. From 9 different books of which 3 books are about Mathematics, how many groups of 5 books each…

A:

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

A: