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Number of binary operations on the set (1, 2} having 1 as the identity element is (A) 10 (B) 16 (C) 20 (D) 8

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asked Oct 22, 2022 in Chapter 1 Relations and Functions by HelloWorld (8.1k points)
edited Jun 29, 2023

Number of binary operations on the set (1, 2} having 1 as the identity element is

(A) 10

(B) 16

(C) 20

(D) 8

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1 Answer

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answered Oct 22, 2022 by HelloWorld (8.1k points)
selected Jun 29, 2023 by HelloWorld

Best answer

(B) 16

Let * be a binary operation.

There are two elements in the set {1, 2}.

∴ Number of binary operations is 24 = 16.

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