A collection of non-repeating (unique) elements is called a **set**.

e.g. The set of letters in "November" is {$N,O,V,E,M,B,R$}

A set X that is completely contained in another set Y is called a**proper subset**.

X is a "simple" subset of itself.

The set of common elements between two sets X and Y is called their**intersection set**

The set of all elements in X, in Y, and in their intersection, is called their**set union**

The set of all elements in X but not in Y is denoted by $X-Y$ and is called a**set difference**

Please note that X-Y may not equal Y-X. e.g. $X$={$1,2,4,5$}, $Y$=[$2,3,5,6$}. $X-Y$={$1,4$}, while $Y-X$={$3,6$}

The number of elements of a set is called its**cardinality**.

The set of all elements under consideration is called a**sample space**

We can draw sets and subsets in a sample space and draw interesting inferences about our data. This diagram is called a**Venn Diagram**

A Venn diagram makes relationships between sets clear. For example:

If 150 cars are registered today at a DMV of which 30 are Toyotas, and 30 are red, and 5 are both, then how many are neither?

Total sample space=150 cars, X(Red)=30, Y(Toyota)=30, intersection(X,Y)=5

So, Red non-Toyotas=$30-5=25$, Non-Red Toyotas=$30-5=25$.

Which leaves a total of $150-(25+25+5)=95$ cars that are non-red, non-Toyotas of the 150 cars registered today.

e.g. The set of letters in "November" is {$N,O,V,E,M,B,R$}

A set X that is completely contained in another set Y is called a

X is a "simple" subset of itself.

The set of common elements between two sets X and Y is called their

The set of all elements in X, in Y, and in their intersection, is called their

The set of all elements in X but not in Y is denoted by $X-Y$ and is called a

Please note that X-Y may not equal Y-X. e.g. $X$={$1,2,4,5$}, $Y$=[$2,3,5,6$}. $X-Y$={$1,4$}, while $Y-X$={$3,6$}

The number of elements of a set is called its

The set of all elements under consideration is called a

We can draw sets and subsets in a sample space and draw interesting inferences about our data. This diagram is called a

A Venn diagram makes relationships between sets clear. For example:

If 150 cars are registered today at a DMV of which 30 are Toyotas, and 30 are red, and 5 are both, then how many are neither?

Total sample space=150 cars, X(Red)=30, Y(Toyota)=30, intersection(X,Y)=5

So, Red non-Toyotas=$30-5=25$, Non-Red Toyotas=$30-5=25$.

Which leaves a total of $150-(25+25+5)=95$ cars that are non-red, non-Toyotas of the 150 cars registered today.

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