2. Given: n (U)3D30 , n (A )= 9, n (B) = 7, and n ( ANB)= 3. Draw a Venn Diagram to illustrate the relationship between the two sets.

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Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
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2. Given: n (U)3 30 , n (A ) = 9, n (B) = 7, and n ( ANB)=3.
Draw a Venn Diagram to illustrate the relationship between the two sets.
Transcribed Image Text:2. Given: n (U)3 30 , n (A ) = 9, n (B) = 7, and n ( ANB)=3. Draw a Venn Diagram to illustrate the relationship between the two sets.
2. Place the elements of these sets in their proper locations in the given Venn diagram.
A
B.
U = {1, 2, 3, 4, 5, 6, 7}
A = {2, 4, 6, 7}
B = {1, 2, 4, 5, 7}
"C. Solve using the Venn Diagram.
1. In a batch of 250 students, 62 are members of the Sports Club, 170 students are members of the
Drama Club, and 40 students are in both cubs. How many students are :
a. in either the Sports Club or Drama Club?
b. in neither of the clubs?
Transcribed Image Text:2. Place the elements of these sets in their proper locations in the given Venn diagram. A B. U = {1, 2, 3, 4, 5, 6, 7} A = {2, 4, 6, 7} B = {1, 2, 4, 5, 7} "C. Solve using the Venn Diagram. 1. In a batch of 250 students, 62 are members of the Sports Club, 170 students are members of the Drama Club, and 40 students are in both cubs. How many students are : a. in either the Sports Club or Drama Club? b. in neither of the clubs?
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