Sets

Let f(w,x,y,z) = ∑(0, 4, 5, 7, 8, 9, 13, 15). Which of the following expressions are NOT equivalent to f?
(A) x'y'z'+w'xy'+wy'z +xz
(B) w'y'z'+wx'y'+xz
(C) w'x'y'z'+wx'y'+xyz + xy'z
(D) x'y'z'+x'y'+w'y
(E) x'y'z'+wx'y'+w'y
Choose the correct answer from the options given below:

Which of the following is the set of those elements which are common in both A and B?

If A = {2, 3, 6} and B = {2, 3, 4, 5, 6} are two sets, then
(A) A⊂B
(B) AUB=B
(C) A∩B=Φ
(D) A∩B= A
Choose the correct answer from the options given below:

Consider the following statements:
(A) If P ={m,n} and Q={n, m}, then P\times Q = {(m,n), (n,m)}.
(B) If A and B are the non-empty sets, then A\times B is a non empty set of ordered pairs (x, y) such that x ∈ A and y ∈ B.
(C) If A = {1, 2}, B={3,4}, then A \times (B∩Φ)=Φ.
Choose the most appropriate answer from the options given below :

If A, B and C are any three sets, then
A. A-(B∩C) = (A ∩ B) - (A∩C)
B. A-(B∪C) = (A - B) ∩ (A-C)
C. n (A-B) = n(A) -n (A ∩ B)
D. A∩(B - C) = (A∩B) ∩ (A-C)
Choose the most appropriate answer from the options given below :

Choose the correct sequence of the four statements given below, so that the phrase makes a complete sense:
A. Then the sets of equations connecting both are known as transformation of co-ordinates.
B. We can associate a unique set of co-ordinates.
C. Given a point P in rectangular co-ordinates.
D. Called the curvilinear co-ordinates of P.
Choose the correct answer from the options given below.

Which of the following points lie in the convex set of points (2,3) and (4,1)?
A. (3.6, 1.4)
B. (3.0, 2.0)
C. (2.4, 2.6)
D. (1.2, 3.8)
Choose the correct answer from the options given below:

Which of the following points lie in the convex set of points (2, 3) and (4, 1)?
A. (3.6, 1.4)
B. (1.2, 3.8)
C. (2.4, 2.6)
D. (0.4, 4.6)
Choose the most appropriate answer from the options given below:

If the sets X and Y are mutually exclusive, then P(X∩Y) is