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

Q: How many different committees are possible that consist of 5 women and 3 men selected from a group…

A: For a committee, arrangement does not matter so use the combination method.  We can select 5 women…

Q: How many outfits can be made from 4 pairs of slacks, 5 shirts, and 3 ties, if one selection from…

A: First decide on a pair of slacks.For that there are 4 different choices.Now for each of those…

Q: In how many can the set {1,2, , 16} be partitioned such that each part .. contains 2 elements? List…

A: Given the set 1, 2, 3, … , 16. We have to determine the number of ways the set 1, 2, 3, … , 16 be…

Q: Find a way to partition the set of integers into 2 subsets. How do you know your subsets form a…

A: It is assumed that the question is asking to find a way to partition the set of all integers into…

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: (a) In how many can the set {1; 2; ........; 16} be partitioned such that each part contains 2…

A: (a) Definition : Partition problem is to determine whether a given set can be partitioned into two…

Q: What is a file?  What are the 2 primary types or categories of files?

A: A file is a smallest unit of allocation, where collection of specific information is stored in the…

Q: 20

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Q: If order of items is important when selecting some of n unique items, the number of arrangements are…

A: By order being important, we mean that (a, b) and (b, a) are not equal. For example, if we are…

Q: A bag contains 5 black and 8 white balls. In how many ways can we draw from the bag groups of balls…

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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: Select the collection of sets that forms a partition of: {1, 2, 3, 4, 5, 6, 7, 8} {0,1,2,5,7}…

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Q: Mr.Jarvis teaches a science class with 16 students. Jarvis must select a delegation of 5 students to…

A: Given that Mr. Jarvis teaches a science class with 16 students. Jarvis must select a delegation of 5…

Q: A set has 20 elements. How many subsets of the set can be formed such that each subset consists of…

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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: 5. Show that () = () +().

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Q: Among a set of 5 black balls and 3 red balls, how many selections of 5 balls can be made such that…

A: From the given information, there are 5 black balls and 3 red balls. Total number of balls is 5+3=8…

Q: Let S = {1,2,3, 4, 5, 6, 7}. %3D (a) Is {{1,3}, {2, 4}, {5,7}} a partition of S? Why or why not? (b)…

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Q: A bag contains 5 black and 10 white balls. In how many ways can we draw from the bag groups of 5…

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Q: A researcher randomly selects 4 fish from among 8 fish in a tank and puts each of the 4 selected…

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

Q: In an enormous car park with 10 levels there are 38 free spots. In how many different ways can the…

A: GivenNo.of free spots (n)=38no.of var park levels(r)=10

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: Find how many 3 subset can be formed from the set {a,b,c,d,e,f,g,h}.

A: We have to find how many 3 subset can be formed from the set a, b, c, d, e, f, g, h.

Q: A bag contains 7 black and 4 white balls. In how many ways can we draw from the bag groups of 5…

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Q: a set of marbles consisting of 4 red, 3 green, 2 blue, 3 orange, 2 yellow and 3 purple marbles. How…

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Q: Show that if seven integers are selected from {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}, there must be…

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Q: Assume that you are assigning one of 12 available lockers to each of the 8 players on the team. In…

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Q: Find the number m of ways that a class X with ten students can be partitioned into four teams A1,…

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Q: A bag contains 7 black and 6 white balls. In how many ways can we draw from the bag groups of 5…

A: Given a bag contains 7 black and 6 white ballsTotal=7+6=13 ballsHow many ways can be draw 5 balls…

Q: Find the number of permutations without replacement that can be created by drawing 5 balls from a…

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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: in how many ways can 6 marbles be distributed among 3 boxes7

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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: suppose we color the squares of a 4×4 grid blue or red.Using inclusion-exclusion, how many ways can…

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Q: Find a set of smallest possible size that has both {3,4,7,8} and {1,5,6,9,10} as subsets.

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Q: Among a set of 5 black balls and 5 red balls, how many selections of 5 balls can be made such that…

A: From the given information, there are 5 black balls and 3 red balls. Total number of balls is 5+3=8…

Q: Show that the number of partitions of n in which odd parts are not repeated but even parts can occur…

A: Let n=4 Then number of partitions of n=4 in which odd parts are not repeated but even parts can…

Q: partition of Z into four subsets.

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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: Which of the following are partitions of {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}? O {2, 4, 6, 8}, {1, 3, 5,…

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Q: A particular brand of shirt comes in 12 colors, has a male version and a female version, and comes…

A: Here , particular brand of shirt comes in 12 colors. It has female version and male version. And it…

Q: Find the number of different partitions of a set having 5 elements and  find the number of different…

A: We have to use Bell number. Let S(n, k) be total number of partitions of n elements into k sets. The…

Q: In how many ways can you partition a set of 8 elements into 3 subsets (compute S8.3)?

A: To find - In how many ways can you partition a set of 8 elements into 3 subsets compute S8, 3 ?…

Q: Find three subsets of {1, 2, 3, 4, 5, 6, 7, 8, 9} such that the intersection of any two has size 2…

A: Explanation of the answer is as follows

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: How many partitions does the set {1,2,3, 4} have? List all the partitions.

A: Solution..

Q: A bag contains 7 black and 6 white balls. In how many ways can we draw from the bag groups of 5…

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Q: How many partitions does the set [10] = {1,2,3,,10} have, in which each part has two elements. How…

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Q: A bag contains 7 black and 6 white balls. In how many ways can we draw from the bag groups of balls…

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