Find the number of different partitions of a set having 5 elements and  find the number of different partitions of a set having 6 elements.

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

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the union of the sets {1, 3, 5, 7} ∪ {2, 4, 6, 8, 10}.

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Q: Find the union of the sets. {0, 1, 3, 5} ∪ {2, 4, 6}

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Q: Find the union of the sets {0, 1, 3, 5} ∪ {2, 4, F}.

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Q: Find the intersection of the sets {7, 8, 9, 10, 11} ∩ {6, 8, 10, 12}.

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Q: 20

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Q: Find the number of combinations that can be drawn without replacement by pulling 2 balls from a set…

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Q: .Determine the number of subsets of a set with {4,5,6,7,8,...,15}

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Q: Suppose Set A contains 22 elements and Set B contains 24 elements. If the total number elements in…

A: The number of elements in the union of set A and B is equal to the sum of cardinal numbers of the…

Q: Suppose Set A contains 19 elements and Set B contains 15 elements. If the total number elements in…

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Q: Suppose a designer has a palette of 9 colors to work with, and wants to design a flag with 3…

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Q: Suppose Set A contains 74 elements and the total number elements in either Set A or Set B is 127. If…

A: Given that, nA=74, nA∪B=127 and nA∩B=17. Note that, the formula for nA∪B=nA+nB-nA∩B.

Q: Find the number of subsets that can be formed from a set containing 10 elements.

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Q: Determine the seating capacity of an auditorium with 15 rows of seats if there are 10 seats in the…

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Q: Suppose Set A contains 76 elements and the total number elements in either Set A or Set B is 122. If…

A: Given data, n(A)=76 n(A or B)=122 n(A and B)=18 n(B)=?

Q: Is there a formula to find the number of partitions in a set with n-elements?

A: Bell numbers, Bn, gives the number of partitions of a set with n elements It counts the number of…

Q: Suppose Set A contains 23 elements and Set B contains 10 elements. If the total number elements in…

A: Given Information: Set A contains 23 elements. Set B contains 10 elements Total number of elements…

Q: If 4 marbles are pulled from the bucket, determine the number of different 4-sets of marbles that…

A: There are 13 marbles which contains 8 red ad 5 blue marbles. (i)When 4 marbles are pulled, where 2…

Q: Find the intersection of the sets. {1, 2, 3, 4} ∩ {2, 4, 5}

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Q: Find the symmetric difference of the set of computer science majors at a school and the set of…

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Q: Suppose Set A contains 82 elements and Set B contains 99 elements. If Sets A and B have 13 elements…

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Q: If there are 1022 different classes at a university, how many different rooms are required in order…

A: according to question, 1022 different classes are there at a university and we have to schedule all…

Q: In a 5-element set, how many partitions can be formed?

A: The number of ways that a set can be partitioned is it's Bell Number  Let S(n, k) be total number of…

Q: Suppose a designer has a palette of 14 colors to work with, and wants to design a flag with 4…

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Q: A bag contains 10 red marbles, 10 white marbles, and 10 blue marbles. What is the minimum number of…

A: From provided information; A bag contains 10 red marbles, 10 white marbles and 10 blue marbles. The…

Q: How many elements are in the union of four sets if each of the sets has 95 elements, each pair of…

A: Here, there are four sets. This is representing as A, B, C, and D.Each of the sets has 95…

Q: If the union of two sets is countable, then each set is also countable.

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Q: Find the union of the sets: {3, 4, 5, 6, 7} ∪ {3, 7, 8, 9}.

A: Given- {3, 4, 5, 6, 7} ∪ {3, 7, 8, 9}. To find- The union of the sets.

Q: Suppose Set B contains 335 elements and the total number of elements in either Set A or Set B is…

A: Given  Number of elements in B = 335  Number of elements in either set A or set B = 608 number of…

Q: Find the intersection of the sets. {1, 3, 7}∩{2, 3, 8}

A: It is given that, {1, 3, 7}∩{2, 3, 8}. Note that, the intersection contains the elements that the…

Q: Suppose a designer has a palette of 16 colors to work with, and wants to design a flag with 2…

A: Recall:  nCr=n!r! (n-r)! We have, n=16, r=2

Q: Write the numbers 0, 2, 4, 6, 8, . . . in set builder notation.

A: The set builder form of a set A is a form in which we describe the property of each element of the…

Q: Suppose Set B contains 31 elements and the total number elements in either Set A or Set B is 126. If…

A: Given that,  nB=number of elements in set B=31nA∪B=number of elements in set A or set…

Q: How many ways are there to select three unordered elements from a set with five elements when…

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Q: Suppose a designer has a palette of 15 colors to work with, and wants to design a flag with 5…

A: Given that a designer has a palette of 15 colors and he wants to design a flag with stripes, all of…

Q: How many elements are in the union of four sets if each of the sets has 98 elements, each pair of…

A: Determine the number of elements is in the union of four sets. The number of elements is in the…

Q: Find the intersection of the sets: {3, 4, 5, 6, 7} ∩ {3, 7, 8, 9}.

A: Given  {3, 4, 5, 6, 7} ∩ {3, 7, 8, 9}

Q: Find the intersection of the set {1, 2, 3, 4} ∩ {2, 4, 5}.

A: We have to find intersection of the set: 1, 2, 3, 4∩2, 4, 5 We know that intersection of set is the…

Q: Consider the following set. {-5, -4, -3,0.1. V2,2, 2.5, 4, 아 0, 1, V2, 2, 2.5, 4,

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Q: A set contains fourteen elements. How many subsets can be formed from this​ set?

A: Given that A set contains fourteen elements. To find How many subsets can be formed from this​ set

Q: Suppose a designer has a palette of 10 colors to work with, and wants to design a flag with 2…

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Q: Suppose Set A contains 477 elements and the total number elements in either Set A or Set B is 881.…

A: Number of elements in set A= 477  Number of elements in either set A or set B=881 Number of elements…

Q: if a given set has 24 elements how many of its subsets have at most four elements

A: There are subsets with 0 elements, 1 element, 2 elements, 3 elements, and 4 elements which are…

Q: Differentiate the sets (0) and 0.

A: We need to differentiate between the sets φ and φ. Note that φ is a set containing and element which…

Q: Suppose we have four sets with sizes 50, 60, 70 and 80. Each pair of sets has five common elements…

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Q: Suppose Set A contains 343 elements and Set B contains 312 elements. If Sets A and B have 89…

A: Cardinality of set A is: A=343 Cardinality of set B is: B=312 Cardinality of set A and set B is:…

Q: Arrange 11 sticks such that the eleven sticks will become 9 without removing a stick from the given…

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Q: (1point) How many elements are in the union of four sets if each of the sets has 99 elements, each…

A: To find: The number of elements are in the union of four sets if each of the sets has 99 elements,…

Q: Find the number of subsets of the set. {10,11, 12}

A: Given: To calculate the number of subsets of the set values {10, 11, 12}

Q: How many distinct 4 block partitions can be made of the set ?={1,2,3,4,5}?

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