Question: QUESTION 1 If A and B are sets and | AxB |=5, then how many tuples are in the Cartesian product A x B ?

QUESTION 1

If A and B are sets and | AxB |=5, then how many tuples are in the Cartesian product A x B ?

52

5

25

10

2 points

QUESTION 2

if A is a set with |A| = 4 then what is the value of | A x A |

4

20

16

4

2 points

QUESTION 3

If A B = {(p, x), (p, y), (q, x), (q, y) }, then A equals which of the following

{ x, y }

{ p, q }

{ p, q, x, y }

None of the above

2 points

QUESTION 4

If A = { 2, 3, 4 } how many sets are in the power set of A

9

6

23

32

2 points

QUESTION 5

Let A = { a, b, c } B = { Raleigh, Durham} C = { 35, 45 }

How many tuples are in the Cartesian product A x B x C

27

212

12

72

2 points

QUESTION 6

Let A = { a, b, c }

How many tuples are in the Cartesian product A x A ?

26

9

6

23

2 points

QUESTION 7

Let A = { a, b, c } B = { Raleigh, Durham} C = { 35, 45 }

How many relations can be formed from the Cartesian product A x B x C ?

12

72

212

26

2 points

QUESTION 8

If the Cartesian product consists of 8 tuples, how many relations are possible with 5 tuples

82

28

8P5

8C5

2 points

QUESTION 9

Let A = { a, b, c } B = { Raleigh, Durham} C = { 35, 45 }

How many relations are there with 5 tuples using A x B

6C5

26

64C5

25

2 points

QUESTION 10

Let A = { a, b, c } B = { Raleigh, Durham} C = { 35, 45 }

How many relations are possible using the Cartesian product B x C

20

24

12

25

2 points

QUESTION 11

If the Cartesian product consists of 10 tuples, how many relations are possible with 10 tuples

10

210

10C10

None of the above

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