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Set Theory : Cardinal numbers

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Example Question #1 : Cardinal Numbers

Given the set , calculate the cardinality.

$A=\begin{Bmatrix} 3,7,5,4,9,11,24 \end{Bmatrix}$

Possible Answers:

|A|=21

|A|=9

|A|=8

|A|=11

|A|=7

Correct answer:

|A|=7

Explanation:

Given a set , the cardinality is the number of elements in . This is also written as |W| .

Looking at this particular problem,

$A=\begin{Bmatrix} 3,7,5,4,9,11,24 \end{Bmatrix}$

Therefore the number of elements in a is,

|A|=7

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Example Question #1 : Cardinal Numbers

Given the set , calculate the cardinality.

$A=\begin{Bmatrix} a,a,b,c,d,e,e \end{Bmatrix}$

Possible Answers:

|A|=5

|A|=a

|A|=7

$|A|=\frac{a+e}{7}$

|A|=c

Correct answer:

|A|=5

Explanation:

Given a set , the cardinality is the number of elements in . This is also written as |W| .

Looking at this particular problem,

$A=\begin{Bmatrix} a,a,b,c,d,e,e \end{Bmatrix}$

First, rewrite the set to depict a more accurate description of the space.

$A=\begin{Bmatrix} a,b,c,d,e \end{Bmatrix}$

Therefore, counting up the number of elements, results in the following cardinality,

|A|=5

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Set Theory : Cardinal numbers

Study concepts, example questions & explanations for Set Theory

All Set Theory Resources

Example Questions

Example Question #1 : Cardinal Numbers

Example Question #1 : Cardinal Numbers

All Set Theory Resources

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