Binary Operations — Formula Sheet
ICSE · Class 12 · Mathematics
5 formulas from Binary Operations (ICSE Class 12 Mathematics) on one page, grouped by topic. Part of the ICSE Class 12 Mathematics syllabus.
Interactive on Super Tutor
Studying Binary Operations? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for formula sheet and more.
Free trial, no card needed.
Formulas and Key Relations
2. Counting Binary Operations
Number of binary operations on A = (p)^(p^2)
n(A×A) = p^2
4. Commutative and Associative Laws
Commutative law: a*b = b*a
Associative law: (a*b)*c = a*(b*c)
Total binary operations on a p-element set = p^(p^2).
Full sheet with units and worked examples
View AllFrequently Asked Questions
What are the important topics in Binary Operations for ICSE Class 12 Mathematics?
How many formulas are in Binary Operations?
How should I revise Binary Operations for the ICSE Class 12 board exam?
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Binary Operations
Practice Quiz
Test yourself with a quick quiz
Important Questions
Exam-style questions with answers
Revision Notes
Key points for last-minute revision
Chapter Summary
Understand the chapter at a glance
Concept Maps
See how topics connect
Study Plan
Step-by-step plan for this chapter
Flashcards
Quick-fire cards for active recall
Syllabus
What topics to cover
For serious students
Get the full Binary Operations chapter — start free.
Quizzes, flashcards, an AI doubt solver and a study plan for ICSE Class 12 Mathematics. Free to start, no card needed.