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If F : a → B is an Injection, Such that Range of F = {A}, Determine the Number of Elements in A.

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Question

If f : A → B is an injection, such that range of f = {a}, determine the number of elements in A.

Sum
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Solution

Range of f = {a}
So, the number of images of  f = 1
Since, f  is an injection, there will be exactly one image for each element of f .
So, number of elements in A = 1.

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Chapter 2: Functions - Exercise 2.1 [Page 31]

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R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 2 Functions
Exercise 2.1 | Q 6 | Page 31

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