Consider a bag containing four red marbles, three green ones, one transparent one, four yellow ones, and three orange ones. How many sets of five marbles include all the red ones? ____ sets

Q: How many permutations of a set five distinct objects taken three at a time are there?

A: Given:-                 How many permutations of a set five distinct objects taken three at a time…

Q: How many unordered selections of three elements can be made from the set {a, b, c, d, e, f}?

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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: A small social network contains four people who are network friends with six other people in the…

A: We have to find (a) How many people are network friends with three other people in the network.(b)…

Q: Consider a bag containing five red marbles, two green ones, one transparent one, five yellow ones,…

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Q: Consider a bag containing four red marbles, two green ones, one transparent one, three yellow ones,…

A: Total number of marbles = 4+2+1+3+3 = 13

Q: Consider a bag containing four red marbles, three green ones, one transparent one, three yellow…

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

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Q: Let S = {Barnsley, Manchester United, Southend, Sheffield United, Liverpool, Maroka Swallows,…

A: Given sets are: Universal set: S=B, M, S, SU, LP, MS, W, R, L Set A contains: A=S, LP, MS, R Set B…

Q: A small social network contains four people who are network friends with six other people in the…

A: (a) To find Number of people are network friends with three other people in the network. (b)To find…

Q: Consider a bag containing four red marbles, three green ones, one transparent one, three yellow…

A: Given, four red marbles,three green ones, one transparent one, three yellow ones, and three orange…

Q: How many unordered sets are there of six items chosen from eight? ?sets

A: The different groups that can be formed by choosing r  things from a given set of n different thing…

Q: In how many ways can we compose a word of 3 letters from the set {X, Y, Z, F, S} if repetition is…

A: Given, Letter set  = {X, Y, Z, F, S}  words should be 3 letters,

Q: Consider a bag containing five red marbles, three green ones, one transparent one, three yellow…

A: The five marbles(none of them are red or green) to be selected from a bag containing 5…

Q: Let A=( a, e, i, o, u, ) a) How many proper subsets will A have? b) How many 3-elements subsets will…

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

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Q: Consider a bag containing five red marbles, two green ones, one transparent one, four yellow ones,…

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Q: How many elements does the following set have? {{{Ø}}, ØU{Ø}, {Ø}, {{Ø}}} 1 2

A: given set {{{∅}}, ∅∪{∅}, {∅}, {{∅}}}

Q: Let S = {Aylesbury, Arsenal, Southend, Sheppey United, West Ham United, Maroka Swallows, Bidvest…

A: Given S = {Aylesbury, Arsenal, Southend, Sheppey United, West Ham United, Maroka Swallows, Bidvest…

Q: Refer to a deck of fifty-two playing cards (jokers not allowed). (a) How many five-card poker hands…

A: a) There are 4 jacks and 4 queens  We can pick 3 jacks in 4C3 = 4 ways  We can pick 2 queens in 4C2…

Q: How many unordered sets are there of two items chosen from four? sets

A: To Find: How many unordered sets are there of two items chosen from four? Concept: Crn=n!r!n-r!

Q: How many subsets are there of the set N = {5, 42}?

A: We ahave to find no. Of subsets.

Q: How many elements are in the set {2,2,2,2}

A: We have to find number of elements

Q: (a) At most 1 car are black. (b) At least 2 cars are black.

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Q: Six country music bands and 3 rock bands are signed up to perform at an all-day festival. How many…

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Q: If a set S has n > 3 elements, how many subsets of S have less than n – 1 elements?

A: Apply the simple logic of Permutation & Combination.

Q: How many subsets are there of the set A = {Lilliana, Alyvia, Leanne, Imani, Kaleigh}?

A: Given set A = {Lilliana, Alyvia, Leanne, Imani, Kaleigh}

Q: Let S = {Barnsley, Manchester United, Southend, Sheffield United, Liverpool, Maroka Swallows,…

A: A detailed solution is given below.

Q: 6. List the subsets of {a, B,r, A}.

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Q: State whether each arrangement represents a permutation or a combination.   a. 8 people seated…

A: Arrangement classification- Permutation or Combination

Q: In how many ways it is possible to partition set B = {1, 2, 3, 4, 5} into 3 nonempty subsets? O a.…

A: Given set is B = {1, 2, 3, 4, 5}

Q: How many unordered sets are there of two items chosen from eight?

A: To find unordered sets of two items chosen from eight. Number of unordered sets r chosen from n is…

Q: A group of families that have 3 kids are in a group. What family that has three girls, given the…

A: Topic = Probability

Q: A committee is to consist of a chair, two hagglers, and three do nothing's. The committee is formed…

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Q: How many unordered sets are there of two items chosen from four? ?sets

A: We have to find number of unordered sets of two items chosen from four items.

Q: list all the possible sets of Cities thot Charlie Con

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

A: The formula for combination is nCr= n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: How many unordered sets are there of five items chosen from eight?

A: In unordered sets, the order of the selection of the selection of items does not matter. So,…

Q: Refer to a bag containing 20 balls-six red, six green, and eight purple. In how many ways can we…

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Q: How many unordered sets are there of four items chosen from six? sets

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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: Find the number of subsets of the set (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11} having 4 elements. * 340…

A: Find the number of subsets of the set 1,2,3,4,5,6,7,8,9,10,11 having 4 elements

Q: 3. Decide whether each selection described is a combination or permutation: The class of 120 seniors…

A: Solution: 3. Combination: If there are n objects and r objected are to be selected, the combination…

Q: Consider a bag containing five red marbles, three green ones, one transparent one, three yellow…

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Q: A bowl contains 7 red balls, 5 white balls, and 3 green balls. In how many ways can 3 balls be drawn…

A: Given,no.of red balls=7no.of white balls=5no.of green balls=3Total no.of balls=15

Q: Consider a shipment of 50 laptops of which four are defective. B. How many ways can we select four…

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Q: A race at the Olympics has 8 runners. In how many orders can their countries finish if a) there are…

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Q: Let A=​{peach, kiwi, tomato, raisin​}, B=​{lemon, watermelon​}, and C {tomato, lemon, pear,…

A: Let A and B be two sets .         1.)  n( A∪B)=nA+n(B)-n(A∩B)         2.) n(A∪B)= n(A-B)+n(A∩B)+ n…

Q: Consider a bag containing seven red marbles, two green ones, one transparent one, seven yellow ones,…

A: Determine the number of sets of five marbles include at most one of the red ones but no yellow ones.…

Q: A given large basket can contain 70 pieces of fruit consisting of apples, bananas, kiwifruit,…

A: