Question 1

If a set

A

is defined as

A = {1, 2, 3}

, how many elements are in its power set

P(A)

, and which of the following is a subset of

P(A)

?

Accepted Answer

8 elements; {{1, 2}, {3}}

Answer

6 elements; {1, 2}

Answer

8 elements; {1, 2, 3}

Answer

9 elements; {{1}, {2}}

Question 2

If set

A

, which of the following statements regarding subsets and elements is true?

Accepted Answer

\{\{b, c\}\} \subseteq S

Answer

<math>\{b, c\} \subseteq S</math>

Answer

Answer

Question 3

If set

A

has

A = {1, 2, 3}

elements and its power set

P(A)

contains exactly

P(A)

elements, how many proper subsets does set

X

have?

Accepted Answer

63

Answer

64

Answer

31

Answer

6

Question 4

If the universal set is

A

and set

A = {1, 2, 3}

(the empty set), which of the following represents the power set of

P(A)

, denoted as

P(A)

?

Accepted Answer

\{\{b, c\}\} \subseteq S

Answer

\{\{b, c\}\} \subseteq S

Answer

\{\{b, c\}\} \subseteq S

Answer

\{\{b, c\}\} \subseteq S

Question 5

Given two sets

A

and

A = {1, 2, 3}

, which of the following statements correctly describes the relationship between

P(A)

and

P(A)

?

Accepted Answer

\{\{b, c\}\} \subseteq S

and

M \subset N

Answer

\{\{b, c\}\} \subseteq S

but

M \subset N

Answer

\{\{b, c\}\} \subseteq S

but

M \subset N

Answer

\{\{b, c\}\} \subseteq S

Question 6

If set

A

and set

A = {1, 2, 3}

is the power set of

P(A)

, which of the following is an element of

P(A)

?

Accepted Answer

\{\{b, c\}\} \subseteq S

Answer

\{\{b, c\}\} \subseteq S

Answer

\{\{b, c\}\} \subseteq S

Answer

\{\{b, c\}\} \subseteq S

Question 7

If set

A

, which of the following statements is FALSE?

Accepted Answer

\{\{b, c\}\} \subseteq S

Answer

\{\{b, c\}\} \subseteq S

Answer

\{\{b, c\}\} \subseteq S

Answer

\{\{b, c\}\} \subseteq S

Question 8

If a finite set

A

has exactly

A = {1, 2, 3}

elements, and its power set

P(A)

has 128 elements, how many proper subsets does a set with

P(A)

elements have?

Accepted Answer

31

Answer

15

Answer

32

Answer

7

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