19. There are ten tokens, 3 black and 7 white, are to be randomly placed into each of the unit squares of a 2x5 board, where each unit square can only fit exactly one token. How many ways are there to place the tokens such that no two black tokens are adjacent to each other? (A) 30 (B) 36 (C) 38 (D) 40 (E) 60 O A

Q: The thirty students in a certain discrete mathematics class all live in one of three dorms on…

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: 22] calculate the number of combination and permutation of, 5 distinct objects taken 2 at time?

A:

Q: 3. There are 5 players on the Rockets 3-on-3 basketball team. a. From these 5 players how many 3…

A: We have to finx number of ways..

Q: How many ways are there to distribute eight balls into six distinct boxes with at least one ball in…

A: The balls are identical. In this case there are 8 balls and 6 boxes to be placed, so each box can be…

Q: At a computer store, a customer is considering 7 different computers, 8 different monitors, 9…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 4.There exist 20 stations between cities of A and B (the satiations in A and B are not counted).…

A: Pn,r=n!n-r! P(20,1)=20!20-1!=20

Q: 4. On Feb 25, 2021, there were 461,058 new cases of COVID reported in the world, 77803 in the US,…

A: Solution: Compared to the US, Oregon had 0.66% of the cases, but 0.41% of the deaths and 1.30% of…

Q: The Department of Mathematics of a certain university in a recent survey was found to consist of 80…

A: Given data 80 faculty members 40 male professors, so 40 female professors Total married professors =…

Q: Ex: An experimenter partitions a field into 64 same lots. Experimenter uses 5 different seeds, 3…

A: Given, No of Lots = 64 no of seeds = 5 no of pesticides = 3  no of fertilizers = 4

Q: In how many different ways can 7 bicycles be parked if there are 5 available parking spaces? 2.…

A:

Q: Q 9: In Bank Muscat Al Khuwair branch, there are 32 employees and average weight of the branch is 48…

A: The average weight of the branch with 32 employees is 48 kg. It can be written as follows: The…

Q: In how many ways can 12 different books be distributed among four chil- dren so that (a) each child…

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: An environmental epidemiologist has designed an experiment to test whether the claims of a chemical…

A: To compare the means of more than 2 groups, ANOVA test is used. The null hypothesis claims that the…

Q: 1. Suppose 1 discovered that my cat had a taste for the adorable little geckoes that live in the…

A: Venn diagram is used to represent data or probability of an event. Each event in the Venn diagram is…

Q: 3. Seven numbered red balls and three indistinguishable blue balls are to be placed in five labelled…

A: Given that: Seven numbered red balls and three indistinguishable blue balls are to be placedin five…

Q: 26. Show how to score a hole in one on the fifth hole ofthe golf course shown by rolling the ball…

A: 26) To score a hole in one on the fifth hole of the golf course is shown by rolling the ball off one…

Q: 1. The class Council is selling T-shirts that come in 3 colors ( yellow, blue, white) and 4 sizes…

A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…

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

A: Given that  There are 10 cars. n=10 There are 8 parking rows. Each row contains 15 spots. r=8 The…

Q: Suppose 7 of the 15 players are left-handed. How many ways are there to select 3 left-handed…

A:

Q: 2. How many different arrangements can be made by using all the letters of the word MATHEMATICS ? 3.…

A: Here use combination

Q: 4. The janitor wants to prevent insect invasion in a building with 15 floors. Since insect killing…

A:

Q: 1- Among a group of students , 50 played Cric ket, 50 played hockey and 40 played vo lley ball. 15…

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: 2.24 Students at a private liberal arts college are clas- sified as being freshmen, sophomores,…

A: Given: Students are classified as freshmen, sophomores, juniors and seniors. Hence, number of…

Q: rom a group of 7 men and 5 women, how many committees of size 3 are possible.  a) With no…

A: Given: No. of men=7 No. of women=5   Committee members=3

Q: Engineers working in a factory R&D unit are wanted, which is not noticed among their budgets.…

A: Given:   Industry Eng Machine Eng 20 36 34 32 33 35 41 34 45 42 37 45

Q: 3. How many ways are there to distribute n identical balls in k distinguishable (labelled) boxes…

A: It is given that there are n identical balls in k distinguishable boxes.

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: How many Hokey teams of 6 players can be formed from 14 players without regard to position played?

A: Given ,no.of hokey players =14

Q: On Feb 25, 2021, there were 461,058 new cases of COVID reported in the world, 77803 in the US, and…

A:

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: 1. A baseball team that has 15 players on its roster. Nine players will be selected for their…

A: Given that  Number of people on its roster (n) =  15 Number of left handers = 5 Number of right…

Q: Answer each permutation problem completely. 1. In how many different ways can 7 bicycles be parked…

A: Given: There  are 7 bicycles and 5 parking spaces

Q: How many times would you expect to roll a fair die before all 6 sides appeared at least once? (Hint:…

A: Consider Yi be the number of additional rolls required for a new side to appear until i-th side have…

Q: 2. A carton of 12 rechargeable batteries contains one that is defective. In how many ways can an…

A:

Q: s that in a certain month, 33.1% of the labor force had a high school diploma or fewer years of…

A: Given: Let H denote high school diploma or less S denote some college or associate's degree B…

Q: From a group of 4 men and 5 women, how many committees of size 3 are possible a) with no…

A: Since , there are a group of 4 men and 5 women. Therefore , the total number of people=n=4 men + 5…

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: 4. A spinner has 4 equal-sized sections labeled 1 through 4. In 25 spins, the spinner lands 5 times…

A: Given that there are 4 equal-sized sections numbered 1 through 4.  So each section has equal…

Q: 2. A research Development department at Oda manufacturing company determines that 20% of people who…

A:

Q: How many polygons can be possibly made from 6 distinct points on a plane, no three of which are…

A: Answer: 42 polygons can be possibly made from 6 distinct points on a plane, no three of which are…

Q: 27 A box contains 5 blue marbles, 3 green marbles, and 7 red marbles. How many marbles must be…

A: We have given the following  5 blue marbles,  3 green marbles.  7 red marbles Total = 15 marbles.

Q: There are 5 pocket holes at the periphery of a round horizontal platform. In how many ways can 5…

A:

Q: 1. In how many ways can a a boy and a girl be selected from a group of five boys and six girls? 2.…

A: According to bartleby policy I have solved first question. I hope it will help you...

Q: 1. Selected two blue balls. 2. Selected a blue ball and then a white ball. 3. Selected a red ball…

A: It is given that Number of red balls = 3 Number of blue balls = 2 Number of white balls = 5 Total =…

Q: 1. A machine is supposed to mix peanuts, hazelnuts, cashews, and pecans in the ratio 5 : 2:2: 1. A…

A: We will use Chi square goodness of fit test to test the hypothesis that the machine is mixing the…

Q: 2.21 Registrants at a large convention are offered 6 sightseeing tours on each of 3 days. In how…

A: Given: Number of sight seeing offered=6 Number of days of tour=3 Determine the number of ways in…

Q: 1.3 of your textbook about the automobile that was tested for production defects, but assume that…

A: Solution Given the number of production defects is 21. And also it is given that 12 of these are…