roblem with solution.
Q: the number of permutations of 10 distinct objects taken six at a time is 151? a. b. True False
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Q: Bag A contains 10 balls of which 3 are red and 7 are blue(assume that each ball is numbered, so all…
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Q: A class held a quiz bee for their different classes and students were awarded medals in different…
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Q: Algbra a contractor builds homes of 6 different models and presently has 3 lots to build on. In how…
A: We have given, a contractor can build 6 different models homes and he has 3 lots only. Therefore, 6…
Q: Find the number of the permutation of 8 different things taken 3 at a time
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Q: How many permutation can we make if we have 12 elements and use 4 at a time?
A: Given data: The total numbers of elements are n=12. The numbers of elements used at a time are…
Q: A committee of 5 students is to be chosen from 6 boys and 5 girls 1. How many different 5-member…
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Q: ppose team A is playing against team 6 in baseball's World Series and team A has already won the…
A: Given, the first team to win four games of the series wins the series.
Q: Suppose a certain combination lock requires three selections of numbers, each from 1 through 25 (b)…
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Q: As the project manager of a project, you are in charge of a team of seven people which includes…
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Q: In each problem, please indicate what kind of permutations is involved, then solve. Show ypur…
A: Given that 1.. Seven runners join a race. In how many possible ways can they be arranged as first,…
Q: A combination lock uses 3 numbers, each of which can be 0 to 31. If there are no restrictions on the…
A: Permutation and combination used to calculate the number of possible ways to arrange or select a…
Q: A box contain 8 red and 6 green balls. In how many ways can 3 balls be drawn such that 2 is red and…
A: GivenA box containNo.of red balls = 8No.of green balls = 6Total no.of balls = 14
Q: Find the number of permutations of the letters j, k, l, m, n, o and p taken 4 at a time
A: The given letters are j, k, l, m, n, o and p. 4 letters are taken at a time.
Q: A box contains 15 balls in which seven are green and eight are yellow. If five balls must be drawn…
A: It is given that Number of green balls = 7 Number of yellow balls = 8 Total number of balls = 15…
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: How many 3-letter passwords can be made using the letters A through Z if... a) Repetition of…
A: We have to find the number of 3-letter passwords that can be made using the letters A through Z if…
Q: box with a square base and no top is to be made from a square piece of tin by cutting out a 3-inch…
A: Given, Square base No top Volume= 48 cubic inches
Q: Answer the problem involving permutations and combinations. SHOW YOUR SOLUTION. 1.) In how many…
A: (1) No.of senators selected in a committee,r = 6 Total no.of senators,n = 12 The no.of ways can…
Q: 3. A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be…
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Q: The number of 3-permutations of 5 objects with repetition allowed is 51 / (5-3)! 35 5x3 53
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Q: Suppose that you have a combination lock that uses letters instead of numbers for its combination,…
A: Solution: The total number of letters is 26 and the lock will be opened with four letters and…
Q: From a standard deck of 52 cards, a hand of 7 is dealt. How many hands are possible that have: a.…
A: Selection or election or collection - all these imply combination. Let us suppose there are three…
Q: How many possible lock codes are there if repetition of letters and numbers is not allowed?
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Q: If there are 10 people and only 6 chairs are available, in how many ways can they be seated?
A: 1st person can choose any of the 10 seats. 2nd person can choose any of the 9 seats now available…
Q: an insurance agent has a list of 7 prospects and decides to telephone 5 of the prospects today and…
A: Firstly, find the number of different ways in which the agent can telephone the 5 prospects today.…
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: In a stack of cards, each card has a number and letter on opposite sides. You are told that all…
A: Each card has a number and a letter on opposite sides. Any number that is even as well as divisible…
Q: A teacher has prepared 20 questions of permutation and 15 questions of combination from the topic…
A: From the provided information, A teacher has prepared 20 question of permutation and 15 question of…
Q: An urn contains 6 green balls and 7 red balls. A man selects balls at random without looking at…
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Q: Find the number of permutations using 4 different letters a, b, c, and d, if they are taken 2 at a…
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Q: How many subsets of set S = {1, 2, 3, 4, 6} do not contain odd numbers? Use bijection to solve this…
A: Solution S={1,2,3,4,6}
Q: Permutations are lager than combination using the same subsets because combination have _____ _____…
A: Suppose we need to choose r things out of n things available The formula for permutation would be =…
Q: A team of 6 people is to be chosen from a group of 7 girls and 4 boys. There ae possible teams if…
A: Combination formula : Number of ways to select r items from total n items is given by, Crn =…
Q: when is an arrangement a permutation and when is an arrangement a combination?
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Q: In a club with 10 male and 13 female members, how many 7 members committees can be chosen that have…
A: Introduction: The permutation rule, and the combination rule are both useful for finding the number…
Q: O AI 3. Dandy has 3 shirts and 2 pairs of pants. in how many ways is the combination possible?
A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…
Q: The complement of 4 heads in the toss of 4 coins is At least one tail, Why it cannot be "all…
A: This can be understood as the rule of hypothesis. In which the alternative hypothesis is the…
Q: How many nonsense words of 3 letters can be formed from the letters c, d, e, f and g if a.…
A: Permutation and combination used to calculate the number of possible ways to arrange or select a…
Q: er
A: To find all the permutations of the 4 objects a ,b, c, and d, taken 3 at a time.
Q: a lock has a code of 3 numbers between 1 and 20. if no numbers in the code are allowed to repeat,…
A: Permutation and combination are used to calculate the number of possible ways to arrange or select a…
Q: GIVEN THE FOUR LETTER A,B,C,D SELECT TWO LETTERS WITHOUT REPLACEMENT A- LIST OUT ALL THE OPTIONS FOR…
A: A. The four letters are A, B, C, and D. The possible outcomes for selecting two letters without…
Q: A box contain 8 red and 6 green balls. In how many ways can 3 balls be drawn such that 2 is ed and 1…
A: Answer - A box contains 8 red and 6 green balls. How many ways can 3 balls be drawn…
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: If radio station call letters must begin with either K or W and must include either two or three…
A: Given: Total letters = 26
Q: If you have 12 boxes then how many balls do you have to put randomly into the boxes in order to…
A: Given that, We are having 12 boxes. In order to have atleast 4 balls in each box when a random box…
Q: * For the first four letters in the English alphabet, a. list the possible permutations of three…
A: (a)Here, order matters. Therefore permutation rule can be applied.
Q: How many ways can four of the letters of the word MAILBOX be selected and written in a row if the…
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Q: 2. A plate number is made up two consonants followed by How many plate numbers are possible. a. if…
A: A plate number is made by two consonants, three non-zero digits and vowel.
Q: How many ways are there to pick five people for a committee if there are six (different) men and…
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Give 3 examples of Permutation with Combination problem with solution.
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- How many ways can a committee of 3 freshmen and 4 juniors be formed from a group of 8 freshmen and 11 juniors?There are 10 applicants for three sales positions at a department store. All of the applicants are qualified. In how many ways can the department store fill the three positions?A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in the front and 3 in the back a. How many arrangements are possible with no restrictions? b. How many arrangements are possible if the parents must sit in the front? C. How many arrangements are possible if the parents must be next to each other?
- The number of 5-element subsets from a set containing n elements is equal to the number of 6-element subsets from the same set. What is the value of n? (Hint: the order in which the elements for the subsets are chosen is not important.)A combination lock will open when you select the right choice of three numbers (from 1 to 30, inclusive). How many different lock combinations are possible?
