# Misc 19 (MCQ) - Chapter 1 Class 12 Relation and Functions (Term 1)

Last updated at Aug. 6, 2021 by Teachoo

Last updated at Aug. 6, 2021 by Teachoo

Transcript

Misc 19 Number of binary operations on the set {a, b} are 10 (B) 16 (C) 20 (D) 8 A binary operation * on {a, b} is * : {a, b} × {a, b} → {a, b} {a, b} × {a, b} = {(a, a), (a, b), (b, a), (b, b)} So, * : {(a, a), (a, b), (b, a), (b, b)} → {a, b} We can define * as a * a = a , a * b = a , b * a = a & b * b = a We denote it as Similarly, there can be other combinations. we see all of them Combinations Total combinations = 16 By formula, Total combinations = 22 × Number of element of set = 22 × 2 = 24 = 16 Hence, B is the correct answer

Miscellaneous

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Misc 10 Important

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Misc 16 (MCQ) Important

Misc 17 (MCQ) Important

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Chapter 1 Class 12 Relation and Functions (Term 1)

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.