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Math 141 WIR5_Dr. Rosanna Pearlstein 1. Given the sets = { | ℎ 226,408}, = { | ^2 − 6 + 8 = 0}, = { | /2 = 0}, = { | ^2 = 4}, = { | /2 = − 3}, = { | / 4 = 2}, and = { | > 0}, express A in terms of B, C, D, E, F, and G. 2. Given the sets = { | ℎ " "}, = { | ℎ " "}, = { | ℎ " "}, = { | ℎ " "}, = { | ℎ " "}, fill in the blanks below as learned in class. S ________ R S ________ T R ________ V T ________ V ∩ = ________ ∪ = _______ a ________ T u ________ T ________ ∈ ∅ { }______ ∪ = ______ ∩ = ________ 1
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9. Let A, B, and C be sets in a universal set U. We are given that ( ) = 150, ( ) = 60, ( ) = 63, ( ) = 93, ( ∩ ) = 33, ( ∩ ) = 42, ( ∩ ) = 36, ( ∩ ∩ ) = 6. What is (( ∪ ∪ ) )? What is ( ∩ ∩ )? 4
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10. An ordered sequence must be formed by three letters followed by five digits. a. How many such sequences are there? b. How many if no repetitions of the letters are allowed? c. How many if no repetitions are allowed, for letters or digits? d. How many have no repetitions of letters or digits, and end with a 5? 11. Four men and four women are lining up for a picture which has alternate pairs of two women and two men. In how many ways can this be done? 5