Calculate how many three-element subsets of a six-element set there are.

Q: If there are 350 four-block partitions of n that contain the set {n}, how many three-block…

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Q: How many ways can president, vice president, secretary, and treasurer be determined in a club with…

A: 13 members are there.   How many ways can president, vice president, secretary, and treasurer be…

Q: Q6. In how many way, can a manager arrange 15 employees into 5 groups. * O 756756 O 168168000 O…

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Q: Ryan is putting 12 colored light bulbs into a string of lights. There are 6 pink light bulbs, 2 red…

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Q: a. Is repetition allowed? Select an answer b. Does order matter? Select an answer c. Which operation…

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Q: The total number of subsets of a finite set A has 56 more elements, then the total number of subsets…

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Q: How many ways can a committee of four people be chosen from a panel of 10 people where: There is no…

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Q: A clothing store has 13 shirts in 4 sizes: small, medium, large, and extra-large for sale. If it has…

A: Number of ways of selling two small shirts is 2! = 2 Number of ways of selling three medium shirts…

Q: 30 students play volleyball, 25 students play football, and 20 students play both games. Using a…

A: Given, Number of students who play Vollyball=30 Number of students who play football=25 Number of…

Q: artition N into 8 countably infinite sets

A: We have to partition N (set of natural numbers) into countably infinite sets.A partition of a set is…

Q: 9. How many 8 element subsets are there in P({a, b, c, d, e, f, g, h, i, j, k, 1, m, n, 0, p})? 10.…

A: We have give a set of 16 elements. We have to get how many subsets which consists 8 elements.

Q: How many subsets are there of the set N = {9}?

A: Given,          The set is N=9We know that,         The number of subsets of a given set is 2n ;…

Q: Give the number of subsets & the number of proper subsets; a. A={ a, b, d} # of subsets: # of proper…

A: Number of subsets of set having n number of elements  = 2n Proper subset is a subset , which is not…

Q: A metropolitan conference consists of 5 teams from the East, 6 teams from the west, 7 teams from the…

A: Here AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION

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

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Q: 6. A bin of golf tees has 7 different colors. You reach in and grab 100 tees. How many different…

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Q: How many different Kriyas may be created with only 5 of these poses?

A: In yoga, a Kriya is a complete set of specific poses and breathing techniques that are combined to…

Q: There are 58 runners in a race. How many ways can the runners finish first, second, and third? There…

A: From the given information, total number of runners = 58. The objective is to find the number of…

Q: A collector of toy vehicles has 12 hot rod cars, 10 pickup trucks, 9 classic cars, and 1 big rig…

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Q: Suppose you have ten blocks with the letter A, A, C, E, E, E, R, S, S, and T. How many ways can we…

A: 10 blocks with letters :  A, A, C, E, E, E, R, S, S, TNumber of ways to order all 10 blocks = ?

Q: A universal set U with 156 elements has been partitioned into three subsets, A, B, and C. If B is 5…

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Q: MI 9 ERA In how many ways can a set of eleven students be divided into ?groups of four, five and two…

A: Given that there are 11 students.  We have to find number of ways that these students can be divided…

Q: A class has 30 students. In how many different ways can four students form a group for an activity (…

A: Determine the number of ways in which four student’s forma group for an activity. The number of ways…

Q: When ordering a certain type of computer hard drive choices of monitor. In how many ways can a…

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Q: From a group of 7 men and 6 women, five persons are to be selected to form a committee so that there…

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Q: A universal set U with 66 elements has been partitioned into three subsets, A, B, and C. If B is 2…

A: From the given information, The universal set U with 66 elements has been partitioned into three…

Q: 1 How many elements must a set have if the number of proper subsets of the set is of the total…

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Q: There are 14 students in the club. How many ways can a group of more than 11 students be chosen?

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Q: Some nonempty set has 211, at most two-element subsets. how many elements does this set have?

A: The number of ways, to select r number of different objects, from n number of different objects, can…

Q: Ten runners join a race. In how many possible ways can they be arranged as first, second, and third…

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Q: How many four-letter (unordered) sets are possible that use the letters q, u, a, k, e, s at most…

A: Introduction: The definition of the combination is "An arrangement of objects where the order of the…

Q: can you help me find the answer

A: As per the company policy i can answer only first question for you,more than that leads me towards…

Q: Assume a club N with five members: N = {Andy, Bill, Cathy, David, Evelyn} Count the different ways…

A: An arrangement of items in a particular order is called a permutation. Any rearrangement of a set's…

Q: There are 16 teams in each conference in professional football, and 6 make the playoffs each year.…

A: The number of teams (n) is 16 and the number of playoffs for each year (r) is 6.

Q: A computer programming team has 13 members. Suppose seven team members are women and six are men.…

A: Solution: From the given information, the programming team has 13 members. Among them 7 are women…

Q: Suppose you have a set of 15 elements, and you want to form subsets from this set. How many…

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Q: Find the largest possible order of an element in S7.

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Q: How many 3-letter arrangements can be formed if at least one of the letters is to be chosen from the…

A: Given  3-letter arrangements can be formed if at least one of the letters is to be chosen from the…