# Misc, 19 - Chapter 1 Class 12 Relation and Functions

Last updated at Jan. 28, 2020 by Teachoo

Last updated at Jan. 28, 2020 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

Misc 1
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Misc 2 Deleted for CBSE Board 2021 Exams only

Misc 3 Important Deleted for CBSE Board 2021 Exams only

Misc. 4 Important

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Misc 6 Deleted for CBSE Board 2021 Exams only

Misc 7 Deleted for CBSE Board 2021 Exams only

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Misc 9 Important Deleted for CBSE Board 2021 Exams only

Misc 10 Important

Misc 11 Important Deleted for CBSE Board 2021 Exams only

Misc 12 Deleted for CBSE Board 2021 Exams only

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Misc 15

Misc 16 Important

Misc 17 Important

Misc 18

Misc, 19 Important Deleted for CBSE Board 2021 Exams only You are here

About the Author

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.