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Let A and B be any two sets such that n(B) = p, n(A) = q then the total number of functions f : A → B is equal to ______. - Mathematics

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प्रश्न

Let A and B be any two sets such that n(B) = p, n(A) = q then the total number of functions f : A → B is equal to ______.

रिक्त स्थान भरें

उत्तर

Let A and B be any two sets such that n(B) = p, n(A) = q then the total number of functions f : A → B is equal to pq functions.

Explanation:

Any element of set A

Say xi can be connected with the element of set B in p ways.

Hence, there are exactly pq functions.

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अध्याय 2: Relations and Functions - Solved Examples [पृष्ठ २७]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 2 Relations and Functions
Solved Examples | Q 13 | पृष्ठ २७

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