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How many ordered pairs are there in the relation​

Sagot :

In order to identify the number of ordered pairs in a relation there is a high probability to look more specific and particular relation information is needed. In math, relation generally involves two sets of elements, where each of the elements in a particular pair has a particular relation to the specific element in the other set.

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Identify the Sets: Understand the set used in relation. Suppose we prefer to refer to them as \( A \) and \( B \).

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Understand the Relation: The relation could be given explicitly (E.g. \( R = \{(a, b) \mid a \in A, b \in B, \text {and} a \text { is related to } b\} \)) or implicitly (E.g. \( R \) is described in some way such as \( a + b = 10 \) etc.

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Count Ordered Pairs: After the relation \( R \) has been defined, determine the number of ordered pairs present within \( R \).

- If \( R \) is specified, find how many pairs there are in the set \( R \).

- If the values are given implicitly in terms of some other variable, say \( R \), then count the pairs of values that meet the given condition.

As far as I can grasp your question, I am unable to offer numerical examples unless a specific type of relation has been defined. You might give me the relation or the characteristic that defines it (such as a + b = 10), and I will explain to you how many ordered pairs are in the relation.