1. Let S and T be subsets of the universal set U. Use the Venn diagram on the right and the given data below to determine the number of elements in each basic region.
n(U)=25
n(S)=13
n(T)=14
n(SUT)=19
Region I contains _____ elements
Region II contains _____ elements
Region III contains _____ elements
Region IV contains _____ elements
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2. Let R, S, and T be subsets of the universal set U. Use the Venn diagram on the right and the given data below to determine the number of elements in each basic region.
Region I contains _____ elements
Region II contains _____ elements
Region III contains _____ elements
Region IV contains _____ elements
Region V contains _____ elements
Region VI contains _____ elements
Region VII contains _____ elements
Region VIII contains _____ elements
1. Let S and T be subsets of the universal set U. Use the Venn diagram...
5.3 Let R, S and T be subsets of the universal set U. draw an appropriate Venn diagram. and use the given data to determine the number of elements in each basic region. # 16. n(S)=10, n(T)=10, n(S' n T)=5, n (S') =13
1. Let U be the universal set with disjoint subsets A and B, where n(U-46, n(A-15, and n(B-14. Find nAn B 2. A merchant surveyed 300 people to determine the way they leaned about an upcoming sale. The survey showed that 180 learned about the sale from the radio, 170 from television, 130 from the newspaper, 120 from radio and television, 70 from radio and newspapers, 80 from television and newspapers, and 60 from all three sources. How many people...
Consider the following venn diagram with universal set, U, and sets A and B. The numbers in the diagram give the COUNTS of elements in the region. Assume we know that: n(U)=196 Consider the following venn diagram with universal set, U, and sets A and B. The numbers in the diagram give the COUNTS of elements in the region. Assume we know that: n(U) 196 Ul 37 79 69 Find each of the following: ROUND TO THREE DECIMAL PLACES! P(A)-...
Given that U = {1, 2, 3, ..., 11, 12, 13} A = {2, 6, 7, 8, 11} B = {2, 4, 5, 10} C = {3,4,5,8, 9, 11, 13} Determine which elements land in each region of the following Venn Diagram. A III. VII. VIII. LIST the elements in each of the following regions in set notation: Hint Region I Region II - Region III - Region IV = Region V = Region VI = Region VII = Region...
determine which elements land in each region of the following venn diagram Given that U = {1, 2, 3, ..., 11, 12, 13} A = {1, 2, 4, 5, 9, 10} B = {3,7,8,9} Determine which elements land in each region of the following Venn Diagram. LIST the elements in each of the following regions in set notation: Hint Region I- Region II - Region III - Region IV- Hint Hint Hint Points possible: 5 This is attempt 1 of...
D Question 7 Let A and B be subsets of a universal set U with n (U)-32, n (A) = 11, n (B) = 17, and n (AUB) = 25. Compute n(A' nB) D Question 8 Let A and B be subsets of a universal set U with n (U)-32, n (A)-11, n (B)-17, and n (A U B)=25 Compute n (AUB).
Let S be the universal set, where: S = {1, 2, 3, ..., 18, 19, 20} Let sets A and B be subsets of S, where: Set A = {2,5, 6, 7, 8, 14, 18} Set B = {1, 2, 3, 4, 7, 9, 10, 11, 12, 14, 18, 19, 20} Find the following: The cardinality of the set (A U B): n(AUB) = The cardinality of the set (A n B): n(An B) is You may want to draw...
someone please help Let U be the universal set, where: U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17) Let sets A, B, and C be subsets of U, where: A = {1, 3, 4, 5, 12, 14, 15) B = {1, 2, 7, 13} C = {3, 7, 10, 14, 16} Find the following: LIST the elements in the set A U : AU = { Enter the elements...
Consider the following venn diagram with universal set, U, and sets A and B. The numbers in the diagram give PROBABILITIES. Consider the following venn diagram with universal set, U, and sets A and B. The numbers in the diagram give PROBABILITIES. 0.46 0.18 0.21 Find each of the following: ROUND TO THREE DECIMAL PLACES! P(A I B) -D
8. Let A and B be subsets of some universal set U. From Proposition 5.10, we know that if A S B, then B S A. Now prove the following proposition: For all sets A and B that are subsets of some universal set U, A C B if and only if B S A.