Question: if A is a set with |A| = 4 then what is the value of | A x A | 4 20 16 4 16

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

4

20

16

4

16 teams enter a competition. They are divided up into four Pools (A, B, C and D) of four teams each. Every team plays one match against the other teams in its Pool. After the Pool matches are completed: the winner of Pool A plays the second placed team of Pool B the winner of Pool B plays the second placed team of Pool A the winner of Pool C plays the second placed team of Pool D the winner of Pool D plays the second placed team of Pool C The winners of these four matches then play semi-finals, and the winners of the semi-finals play in the final. How many matches are played altogether?

31

32

63

24

If A = { 2, 3, 4 } how many subsets does A ?

6

23

12

32

Assume the following sets

A == the set of prime numbers less than 10 (1 is not a prime)

B == the set of odd integers less than 10

C == the set of even integers less than 10

How many of the following statements are true

A is a subset of B B is a subset of A A is a subset of C

C is a subset of A B is a subset of C C is a subset of B

2

0

1

3

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