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sattari [20]
2 years ago
13

A) Create a Venn Diagram that shows the relationship between A, B, and the Universal Set.

Mathematics
1 answer:
expeople1 [14]2 years ago
8 0

Answer:

{a universal set is a set which contains all objects, including itself}

Step-by-step explanation:

a) you will create two circle, crossing over each other, and shade both the "A" the "B" and the middle space.

b) (AUB) means the same thing as universal set, but its called union, infact if you draw this out in Venn Diagrams this will be the exact same as answer (a).

c) A n B : mean A 'intersection' with B, so here you will only shade the area where both circles meet.

d) i am not sure of this one, sorry

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Each of three coins has two sides, heads and tails. Represent the heads or tails status of each coin by a logical variable (A fo
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Answer:

(a) F(A, B, C) = AB'C' + A'BC' + A'B'C

(b) F(A, B, C) = (A' + B' + C')(A' + B + C)(A + B' + C)(A + B + C')(A + B + C)

Step-by-step explanation:

(a) If F(A, B, C) = 1 iff exactly one of the coins is heads, then either

A is heads and the others are tails (AB'C')

B is heads and the others are tails (A'BC')

C is heads and the others are tails (A'B'C)

Hence, as a minterm expansion,

F(A, B, C) = AB'C' + A'BC' + A'B'C

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Expanding,

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