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Let A = {1, 2, 3}. Write All One-one From A To Itself. - Mathematics

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प्रश्न

Let A = {1, 2, 3}. Write all one-one from A to itself.

योग
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उत्तर

A ={1, 2, 3}
Number of elements in  = 3
Number of one-one functions = number of ways of arranging 3 elements = 3! = 6

(i) {(1, 1), (2, 2), (3, 3)}
(ii) {(1, 1), (2, 3), (3, 2)}
(iii) {(1, 2 ), (2, 2), (3, 3 )}
(iv) {(1, 2), (2, 1), (3, 3)}
(v) {(1, 3), (2, 2), (3, 1)}
(vi) {(1, 3), (2, 1), (3,2 )}

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अध्याय 2: Functions - Exercise 2.1 [पृष्ठ ३२]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 2 Functions
Exercise 2.1 | Q 10 | पृष्ठ ३२

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