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The Number of Binary Operation that Can Be Defined on a Set of 2 Elements is - Mathematics

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प्रश्न

The number of binary operation that can be defined on a set of 2 elements is _________ .

पर्याय

  • 8

  • 4

  • 16

  • 64

MCQ

उत्तर

16

We know that the number of binary operations on a set of n elements is  \[n^{n^2}\]

So, the number of binary operations on a set of 2 elements is \[2^{2^2} ( 2^4 ), i . e . 16 .\]

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पाठ 3: Binary Operations - Exercise 3.7 [पृष्ठ ३९]

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आरडी शर्मा Mathematics [English] Class 12
पाठ 3 Binary Operations
Exercise 3.7 | Q 28 | पृष्ठ ३९

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