* Let f and g be permutations on the set {1, 2, 3, 4, 5, 6, 7, 8, 9}, defined as follows f = (3 1 7)(5 6 7) g = (451 3) Which of the following are even permutations? А. f B. fgƒ-l C. g D. fg E. f-1 F. g-1

Q: D. Let A, B, and C be subsets of some universal set U (a) If ANBC C and A° N B C C, prove that B CC

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A: As per guidelines, I can answer only one question.

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A: Here we have to find the set D and E in list form.

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A: The given sets areA={2, 4,8} ,B = {1,2,3} ,C = {0, 1}

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A: Given  S=1,5.2×[2,3.14) in R2 A set is said to be open set if it can be written as finite union of…

Q: 2. Let f and g be any permutations. Show that the order of h = fgf- is the same as the order of g.

A: Here f and g are tow permutations  and we are given that h=fgf-1. We have to show that both f and g…

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A: The objective is to find the order of set S. Given: S={1, 4, {1, 4}}.

Q: Question 4. elements a, b, and c are distinct) Explain your answer. (a) Ø (b) {0, {a}} (c) {Ø, {a},…

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A: Let A and B be any two sets.Prove that: .

Q: applied discret mathes  if |A| = 3, |B| = 2, Then what is the cardinality of the power set of A x B

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Q: Use the sets to find Fn (DUE). Let D = {14,17,19}, E = {14,16,17,18), and F = {13,15,16,17,19}. Fn…

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Q: (LP4) Here are two definitions about sets: Let A be a set. The set A is called the compliment of A…

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