Consider the letters A-F. How many different arrangements are there for which: A is before B and C is before D? A and B are next to each other and C and D are also next to each other? E is not last in the line?

Q: 1,322 471

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Q: A т D n 6 5 10 12

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Q: The order of (3, 4) in Z4 × Z10 is  a. 4 b. 12 c. 40 d. 5 e. 20

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Q: 1 4. Given A=) 2 2 1 a. A + 2B b. 3A-2B and B = -3 4 -2 2 find

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Q: A.B? B.A?

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Q: If a = (2, 4, – 1, 3) then ||-3a|l,= Select one: а. 30 b. -30 c. 27 d. -27

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Q: 1 -1 2 2 1 -1 A = 2 B = 1 3 2 4 C = 1 -1 4 -4 Find A - B, A+ B, and A + C.

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Q: Find BA. A = BA= -1 - 1 -6-2 B = -2 - 3 -4 -1

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Q: Evaluate.

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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.