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Number of Binary Operations on the Set {A, B} Are - Mathematics

Number of binary operations on the set {ab} are

(A) 10

(B) 16

(C) 20

(D) 8

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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 Class 12 Maths
Chapter 1 Relations and Functions
Q 19 | Page 31
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