1. Let S = {a, b, c}. Find a set T such that S ∈ T...
1. Let S = {a, b, c}. Find a set T such that S ∈ T and S ⊂
T.
2. Let A = {1, 2, ..., 10}. Give an example of two sets S and B
such that S ⊂ P(A), |S| = 4, B ∈ S and |B| = 2.
3. Let U = {1, 2, 3} be the universal set and let A = {1, 2}, B
= {2, 3} and C = {1, 3}. Determine the...
Let SS be the universal set, where:
S={1,2,3,...,28,29,30}S={1,2,3,...,28,29,30}
Let sets AA and BB be subsets of...
Let SS be the universal set, where:
S={1,2,3,...,28,29,30}S={1,2,3,...,28,29,30}
Let sets AA and BB be subsets of SS, where:
Set
A={1,8,13,14,16,17,20,25,27,28}A={1,8,13,14,16,17,20,25,27,28}
Set B={6,7,9,13,14,30}B={6,7,9,13,14,30}
Set
C={5,8,10,11,13,14,15,17,23,25,28}C={5,8,10,11,13,14,15,17,23,25,28}
Find the number of elements in the set (A∩B)(A∩B)
n(A∩B)n(A∩B) =
Find the number of elements in the set (B∩C)(B∩C)
n(B∩C)n(B∩C) =
Find the number of elements in the set (A∩C)(A∩C)
n(A∩C)n(A∩C) =
Let the linear transformation T: V--->W be such that T (u) =
u2 If a, b...
Let the linear transformation T: V--->W be such that T (u) =
u2 If a, b are Real. Find T (au + bv) ,
if u = (x, y) v = (z, w) and uv = (xz-yw, xw + yz)
Let the linear transformation T: V---> W be such that T (u)
= T (x, y) = (xy, 0) where u = (x, y), with 2, -3. Then, if u = (
1.0) and v = (0.1). Find the value...
Let A, B, and C be sets in a universal set U. We are given n(U)...
Let A, B, and C be sets in a universal set U. We are given n(U)
= 63, n(A) = 33, n(B) = 34, n(C) = 28, n(A ∩ B) = 15, n(A ∩ C) =
17, n(B ∩ C) = 14, n(A ∩ B ∩ CC) = 9. Find the following
values.
(a) n(AC ∩ B ∩ C)
(b) n(A ∩ BC ∩ CC)