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If a = {1, 2, 3} and B = {A, B}, Write the Total Number of Functions from a to B.

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प्रश्न

If A = {1, 2, 3} and B = {a, b}, write the total number of functions from A to B.

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उत्तर

Formula:
If set A has m elements and set B has n elements, then the number of functions from A to B is 
Given:

A = {1, 2, 3} and B = {a, b}

⇒ n (A) = 3 and n (B) = 2

∴ Number of functions from A to B = 23 = 8

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अध्याय 2: Functions - Exercise 2.5 [पृष्ठ ७३]

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आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
अध्याय 2 Functions
Exercise 2.5 | Q 3 | पृष्ठ ७३

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