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Write the Total Number of One-one Functions from Set a = {1, 2, 3, 4} to Set B = {A, B, C}.

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Question

Write the total number of one-one functions from set A = {1, 2, 3, 4} to set B = {a, b, c}.

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Solution

A has 4 elements and B has 3 elements.
Also, one-one function is only possible from A to B if (A) ≤ n (B).
But, here n B if (A) > n (B).
So, the number of one-one functions from A to B is 0.

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Chapter 2: Functions - Exercise 2.5 [Page 73]

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R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 2 Functions
Exercise 2.5 | Q 5 | Page 73

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