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Number of Binary Operations on the Set {A, B} Are - CBSE (Science) Class 12 - Mathematics

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Question

Number of binary operations on the set {ab} are

(A) 10

(B) 16

(C) 20

(D) 8

Solution

A binary operation * on {ab} is a function from {ab} × {ab} → {ab} i.e., * is a function from {(aa), (ab), (ba), (bb)} → {ab}.

Hence, the total number of binary operations on the set {ab} is 24 i.e., 16.

The correct answer is B.

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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 12 (2018 to Current)
Chapter 1: Relations and Functions
Q: 19 | Page no. 31
Solution Number of Binary Operations on the Set {A, B} Are Concept: Concept of Binary Operations.
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