Let A = {a, b, c, d, e, f, g}, B = {b, a, g}, C = {f, a, d, e} and D = {a, g, e, d}. (i) What is the powerset of B? (ii) Let n = |P(C)| and m = |B × D|. What are n and m? (iii) Draw an Euler diagram of A, B and C. (iv) Draw a Venn diagram of A, B and C. (v) Let E = P (A \ C) ∩ (A \ (D \ B)) . What is |E|
Let A = {a, b, c, d, e, f, g}, B = {b, a, g}, C = {f, a, d, e} and D = {a, g, e, d}. (i) What is the powerset of B? (ii) Let n = |P(C)| and m = |B × D|. What are n and m? (iii) Draw an Euler diagram of A, B and C. (iv) Draw a Venn diagram of A, B and C. (v) Let E = P (A \ C) ∩ (A \ (D \ B)) . What is |E|
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Let A = {a, b, c, d, e, f, g}, B = {b, a, g}, C = {f, a, d, e} and D =
{a, g, e, d}.
(i) What is the powerset of B?
(ii) Let n = |P(C)| and m = |B × D|. What are n and m?
(iii) Draw an Euler diagram of A, B and C.
(iv) Draw a Venn diagram of A, B and C.
(v) Let E = P
(A \ C) ∩ (A \ (D \ B))
. What is |E|
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