##### Relation and Functions – Notes

**Cartesian Product of Sets**

Ordered pair: A pair entries grouped in a particular order, which are separated by a comma and enclosed within brackets.

If two ordered pairs are equal then their corresponding first elements and second elements are equal.

The Cartesian product of two non-empty finite sets P and Q is the set of all ordered pairs of the elements from P and Q.

In set-builder form,

P Q = {(p, q): p P, q Q}

The Cartesian product of two non-empty sets X and Y can be represented in the form of tabular cells or the point of intersection of perpendicular lines.

If n(P) = m and n(Q) = then n(P Q) = mn.

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ShikshaHouse

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Class 11th Maths 2 - Relation and Functions - Notes

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