Discrete Mathematics Answers

There are 18 mathematics majors and 325 computer science majors at a college.
a) In how many ways can two representatives be picked so that one is a mathematics major and the other is a
computer science major?
b) In how many ways can one representative be picked who is either a mathematics major or a computer science major?

If A is the set of all residents of the United states, B the set of all Canadian citizens, and C the set of all women in the world, describe the sets
A intersection B intersection B intersection C
A-B
A-C
C-A

Let A = {2,4,6} and B = {x,y,z}. State each of the following are relations from A into B.
v) R5 = {(x,2), (4,z), (2,z), (6,y)}

Let A = {2,4,6} and B = {x,y,z}. State each of the following are relations from A into B.
(iv) R4 = {(4,y), (6,x), (4,x)}

Let A = {2,4,6} and B = {x,y,z}. State each of the following are relations from A into B.
(iii) R3 = {(2,x), (4,y), (6,z)}

Let A = {2,4,6} and B = {x,y,z}. State each of the following are relations from A into B.
(ii) R2 = {(4,y), (y,4)}

Let A = {2,4,6} and B = {x,y,z}. State each of the following are relations from A into B.
(i) R1 = {(2,x), (y,4), (6,z)}

Let A be the set {1,2,3,4,5,6}.Which orders pairs are in the following relations on A.
(v) R5 = {(a,b) : a = 2 and a + 2b ≤ 10}

Let A be the set {1,2,3,4,5,6}.Which orders pairs are in the following relations on A.
(iv) R4 = {(a,b) : a + b ≤ 5}