Ordered Pair
Observe
the seating plan in an auditorium (Fig.1.1). To help orderly occupation of
seats, tokens with numbers such as (1,5), (7,16), (3,4), (10,12) etc. are issued. The person who gets (4,10) will go
to row 4 and occupy the 10th
seat. Thus the first number denotes the row and the second number, the seat.
Which seat will the visitor with token (5,9) occupy? Can he go to 9th row and
take the 5th seat? Do (9,5) and (5,9) refer to the same location? No, certainly! What can you say about
the tokens (2,3),
(6,3) and
(10,3)?
This is
one example where a pair of numbers, written in a particular order, precisely
indicates a location. Such a number pair is called an ordered
pair of numbers. This notion is skillfully used to mathematize the
concept of a “Relation”.
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