• Question 6 Suppose Set A contains 391 elements and Set B contains 421 elements. If Sets A and B have 40 elements in common, what is the total number of elements in either Set A or Set B? Hint > Next Question

Q: Suppose Set A contains 77 elements and Set B contains 59 elements. If the total number elements in…

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Q: Suppose I had the set {1,2,3} and wanted to make a list of 5 of those elements that contained one…

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

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Q: How many subsets with an odd number of elements does a set with 12 elements have?

A: Given that a set contains 12 elements. We need to calculate the total number of subset with an odd…

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

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Q: May sound like an obvious question but how does the set contain 0 when n is greater than 1?

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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: 2. How many 3 element subsets of the set {a, b, c, d, e, f, g, h, i} contain no vowels?

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Q: Suppose Set A contains 28 elements and Set B contains 26 elements. If Sets A and B have 7 elements…

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Q: Suppose we have a set A={1, 2, 3, 4, 5, 6}. What is the partition of A into three parts? Make sure…

A: We can partition of set A as below

Q: A multiset is similar to a set, but can contain an element more than once. How many multisets can we…

A: You can identify every multiset with an ordered pair of usual sets, call them high and low. If you…

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: How many subsets with an odd number of elements does a set with 10 elements have?

A: To find the total number of subsets with an odd number of elements of a set with 10 elements, first…

Q: Let the Universal Set, S, have 141 elements. A and B are subsets of S. Set A contains 96 elements…

A: Universal set S contains 141 elements. Set A contains 96 elements. Set B contains 57 elements. Total…

Q: bank PIN is a string of four digits, each digit 0-9. How many choices are there for a PIN if the…

A: Given A bank PIN is a string of four digits, each digit 0-9. Odd numbers=1,3,5,7,9

Q: A signal can be formed by running different colored flags up a pole, one above the other. Find the…

A: Permutation: A permutation is an arrangement of the objects or numbers and the order of the…

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

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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: We use the definition of the size of a set to find the number of elements in the set B. The size of…

Q: A universal set U with 48 elements has been partitioned into three subsets, A, B, and C. If B is 5…

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Q: Write the resulting set using the listing method {4,6,8} intersect {3,5}

A: We can write the resulting set using the listing method as below.

Q: A signal can be sent from one location to another by running different colored flags up a flagpole,…

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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.

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.