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If a = {A, B, C} and B = {−2, −1, 0, 1, 2}, Write the Total Number of One-one Functions from a to B.

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Question

If A = {abc} and B = {−2, −1, 0, 1, 2}, write the total number of one-one functions from A to B.

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Solution

Let F : A → B be a one-one function .

Then , f (a) can take 5 values, f (b) can take 4 values and f (c) can take 3 values .

Then, the number of one-one functions = 5 × 4 × 3 = 60

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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 4 | Page 73

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