If A and B are both finite sets and A has n elements and B has m elements, what’s the fewest number of elements A ∪ B can have? What’s the most number of elements A ∪ B can have? What’s the fewest and most number of elements A ∩ B can have?

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A: Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk,…

Q: The Counting Formula states that if A and B are finite sets,then n(A ∪ B) =____________

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Q: 2. Consider the collections C = {penny, nickel, dime, quarter} D = {penny, nickel, nickel, dime,…

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Q: 4. Is the set Q² x {a,b,c} countable or uncountable? You must justify your answer with a proof.

A: Given : ℚ2×a , b ,c  To Prove : ℚ2×a , b ,c  countable or uncountable

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Q: How many unordered sets are possible that contain three objects chosen from seven?

A: Number of unordered sets that contain three objects chosen from seven = 7C3

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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: rom a group of 7 men and 5 women, how many committees of size 3 are possible.  a) With no…

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Q: Given set A with 17 elements and set B with 7 elements. a. What is the maximum number of elements in…

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Q: If X and Y are two sets such that X has 30 elements and X ∪ Y has 50 elements and X ∩ Y has 8…

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Q: Suppose P is the set of numbers that are divisible by 5 and Q is the set of numbers divisible by 10.…

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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: If the set A has 3 elements and the set B = {3, 4, 5}, then find the number ofelements in (A×B).

A: Given that n(A)=3 From B = {3, 4, 5} we see that n(B)=3

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