Universal set = {x | x is a positive integer less than 20} A = (2, 3, 5.7. 11. 1

Question

Universal set = {x | x is a positive integer less than 20} A = (2, 3, 5.7. 11. 13, 17. 19) B = (x|x is an odd integer between 10 and 20) (a) A intersection B = (b) A' = (c) A union B = The union of two sets E union F has 48 elements. Set E contains 27 elements, and set F contains 30 elements. How many elements are in E intersection F? A survey of 35 diners at Hazel's Seafood Buffet yields the following information: 24 had shrimp 15 had shrimp and red snapper 18 had crab 14 had crab and red snapper 21 had red snapper 10 had all three 13 had shrimp and crab Represent the above information in a Venn diagram Find the number that had (a) shrimp only (b) shrimp and crab but no red snapper (c) no red snapper (d) none of the three (e) at least two of the three A church wants to select a man, a woman, and a child for a poster illustration. In how many ways can this be done if there are 100 men, 150 women, and 50 children to choose from? In how many different ways can 3 history and 4 sociology books be arrange on a shelf if all books on the same subject are kept together? A group contains 11 women and 9 men (a) How many ways can four People from the group be arranged in a row? (c) In how many ways can five people from the group be arranged in a row if the first three must be men and the last two women? A sale table in the bookstore has 16 posters and 21 books. (a) How many ways can a student select one poster and one book? (b) How many ways can a student select two posters and three books? (c) How many ways can a student select two posters or three books?

Explanation / Answer

1 Question at a time.

Answer to Q1)

A has some list of elements

B has odd intergers between 10and 20.

Universal set is postive intergers less than 20.

a) A int B = {11,13,17,19}

It has common elements of A and B

b) A' = {1,4,6,8,9,10,12,13,14,15,16,18}
It is complement of A.

c) A union B = {2,3,5,7,11,13,15,17,19}
It has both elements of A and B

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