suppose 4 marbles are dawn from an urn containing 5 red and 4 blue marbles, and the number of blue marble is noted.

Q: Suppose there are 21 different competitors at a barbeque competition. Judges are going to award 5…

A: Given: 21 different competitors The total award is given = 5

Q: At the end of the day, a bakery gives everything thatis unsold to food banks for the needy. If it…

A: Consider, Number of apple pies left (n) = 12 Number of food banks (r) = 6

Q: Suppose Pat has eight shirts and four pairs of pants. How many different outfits  can Pat make by…

A: The person has 8 shirts and 4 pairs of pants and he can make one outfit by combining one shirt with…

Q: A jar contains 5 white balls, 8 black balls, and 6 red balls. In how many ways can 5 balls be…

A:

Q: In the Superfecta, one must pick the first four finishers of a horse race in correct order. If there…

A: For this question, assuming that all the horses were alive after the race, i.e. there were no…

Q: If 10 people are qualified for the next flight of a new space vehicle , how many different groups of…

A: Number of different ways to choose r number of people from a given set of n people is given by…

Q: How many ways can the top four cash prices be awarded in a lottery that sold 150 tickets if each…

A: here given scenario is with replacement ,

Q: How many ways are there to seat six boys and eight girls in a row of chairs so that no two boys are…

A: See the attachment

Q: ssume that 8 women and 6 men work in a department at a large company. How many ways can a…

A: Combination formula : The number of ways to select r subject from n is determined by using following…

Q: Suppose 84% of students chose to study Spanish their junior year, and that meant that there were 378…

A: Then,

Q: A manufacturer of electric bulbs sends out 500 lots each consisting of 100 bulbs. If 5% bulbs are…

A: It is given that a manufacturer of electric bulbs sends out 500 lots each consisting of 100 bulbs.…

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: A store sells 8 kinds of balloons with at least 30 of each kind. How many different combinations of…

A: 8 kinds of balloons with at least 30 of each kind We have to find how many different combinations of…

Q: A business has hired 12 new employees and must assign 8 to the day shift and 4 to the night shift.…

A: We have given that  A business has hired 12 new employees and must assign 8 to the day shift and 4…

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 a bucket there are 5 purple, 15 gray and 25 green balls. If the ball is picked up randomly, how…

A:

Q: nd presently has 3 lots to build on

A: Given : a contractor builds homes of 6 different models and presently has 3 lots to build on.  we…

Q: If there are 3 representatives from Company A and 4 representatives from Company B meet. If they…

A: This is a application of Fundamental Principle of Counting .

Q: How many different committees of 3 people can be chosen from a group of 8 people?

A: Total number of people in the group are 8. Total number of people for the committee is 3.

Q: How many outfits can be constructed with 1 shirt, 1 pants, and 1 tie from a wardrobe of 2 shirts, 5…

A: The given problem is based on combination {Because order doesn't matter}. The combination of…

Q: Suppose that there are 9 female and 12 male students in a classroom. How many different 5-member…

A: According to the provided information, number of female students = 9 number of male students = 12…

Q: 24. Box A contains 7 balls and box B contains 16 balls. How many different selections of 10 balls…

A: Determine the different selections of 10 balls that can be made. The different selections of 10…

Q: In a birthday party, 2/3 of the children were 8 years old, 2/3 of the remaining are 9 years old, and…

A:

Q: Suppose that there are 9 female and 12 male students in a classroom. How many different 5-member…

A: Combination:   A combination is a selection of objects where order is not important.   If n is…

Q: If 5 people finish the whitewashing of a house in 3 days, in how many days will 3 people finish the…

A: Given, 5 people finish the whitewashing of a house in 3 days.       To find, How many days will 3…

Q: A club with 25 members is selecting a committee of 6 people. In how many ways can this be done?

A: *concept:- use defination of Combination.

Q: Each marble bag sold by Deshaun's Marble Company contains 5 orange marbles for every 6 green…

A:

Q: Suppose 8 red marbles are to be put into 10 numbered boxes with any number per box. In how many ways…

A: Given are 8 red marbles, let's denote them as R1, R2,R3,R4,R5,R6,R7 and R8 Also, there are 10 boxes,…

Q: Suppose a class consists of 3 students majoring in Computer Science, 4 students majoring in…

A: Students in computer science CS = 3 Students in mathematics MS= 4 Students in Islamic studies IS= 4

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: The freshman basketball team has ten players. Only five can play on the court atone time. How many…

A: Given problem:- The freshman basketball team has ten players.Only five can play on the court atone…

Q: A team of 24 workers was on a job that will finished in 70 days. 10 more workers were hired on the…

A: Given that a team of 24 workers will finish a job in 70 days. so 1 worker in 1 day will finish…

Q: From a group of 20 nurses, 4 are to be selected to work a night shift. In how many ways can this be…

A:

Q: In a​ bag, there are 6 purple and 12 green marbles. If you reach in and randomly choose 5 ​marbles,…

A: Given, there are 6 purple and 12 green marbles in a bag To find the number of ways to choose exactly…

Q: How many different teams of 4 members can be selected from a pool of 20 applicants?

A: The combination formula is given by

Q: n how many ways can a committee of 4 be selected from 8 seniors 8. and 6 juniors if the committee…

A: Since you have posted multiple questions, as per our guidelines, we have provided answer for first…

Q: If 1% of a shipment of 2000 light bulbs is defective, how many bulbs in the shipment are NOT…

A: Given, 1%  of a shipment of 2000 light bulbs is defective i.e, number of defective bulbs = 2000 *…

Q: Suppose that 5% of teachers at a university attended a conference. If 4000 teachers are enrolled at…

A: Number of teachers enrolled at the university = 4000 percentage of teachers who attended conference…

Q: A contractor builds homes of 9 different models and presently has 3 lots to build on. In how many…

A: We have to find no. Of ways..

Q: Suppose 34% of students chose to study German their junior year, and that meant that there were 272…

A:

Q: O From a collection of 52 store customers, 3 are to be chosen to receive a special gift. How many…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: From a garden with 6 flower varieties, a bouquet of 3 differer types of flowers is to be picked. How…

A: using permutation and combination in these type of problems.

Q: If a cube had been rolled 200 times, how many times would you expect a sum of 2 to be rolled?

A: From the table, we see that the sum of 2 rolled 3 times. In the table total number of rolls= 3+2+…

Q: 2) How many numbers are there between 6000 and 7000 which have exactly one of their digits as 7?

A: Since, we have to find numbers between 6000 and 7000 so the thousand's place must be occupied by 6.…

Q: How many ways are there to select 5 cookies from a jar containing 3 types when repetition is…

A: Theorem-  there are C(n+r-1 , r) ways of choosing r-combination from a set of n elements when…

Q: A bus has 8 vacant seats in the first rows. If 3 additional passengers enter the bus, in how many…

A: For the number of ways of their seating, we need to use combination.

Q: If the chair of a math department has to appoint a committee of 4 professors from among the 10…

A:

Q: If n EN and n < 2000, how many numbers n have the property that the sum of the digits of n and the…

A: Given: n∈ℕ And n&lt;2000

Q: Suppose there are 8 male professors and 5 female professors teaching a Math class. How many ways can…

A: Sum rule principle:   Let E1 denote the first event that an occur in m ways and then E2 denote the…