Week 1

Question 1

What is N?

Answer 1

Natural Numbers, non-negative number

Question 2

What is Z?

Answer 2

Set of all integers

Question 3

What is Z+?

Answer 3

Set of all positive integers

Question 4

What is Q?

Answer 4

Set of all rational numbers

Question 5

What is R?

Answer 5

Set of all real numbers

Question 6

What is R+?

Answer 6

Set of all positive real numbers

Question 7

What is C?

Answer 7

Set of all complex numbers

Question 8

What is the size of the Power Set?

Answer 8

|P(s)| = 2^n

Question 9

Are the following pairwise different?
(1, 2, 3) , (1, 3, 2), (2, 1, 3), (3, 1, 2)

Answer 9

Yes

Question 10

if |A| = a and |B| = b, what is the size of A x B?

Answer 10

ab

Question 11

if |A| = a, what is the size of A^n?

Answer 11

a^n

Question 12

Let A be any set. What is the size of A x 0?

Answer 12

0

Question 13

How many different license plates are available if each plate contains a sequence of 3 letters followed by 3 digits?

Answer 13

26^3 * 10^3 choices

Question 14

How many subsets does the set S = {1, …, n} have?

Answer 14

2^n

Question 15

FORMULA FOR INCLUSIVE-EXCUSLIVE PRINCIPLE OF 2 SETS

Answer 15

|A∪B| = |A| + |B| - |A∩B|