What is the total number of non-commutative binary operations on a finite set S having 10 elements? This conversation is already closed by Expert.

Become a Meritnation Franchisee! Let us call you for FREE.

How many binary operations are there on a set S with n elements? : learnmath

Did not find your question? No Problem Ask this as a question.

abstract algebra - Counting binary operations on a set with $n$ elements - Mathematics Stack Exchange

Kunal Jashnani , asked a question. Therefore the number of commutative binary operations is the same as the number of functions from T to S. This number is S T. To count the elements of T first count the elements beginning with 1: There are n of them.

Now the ones that begin with 2: There are n-1 of them. Continue this process and finally count the ones that begin with n: There is only 1.

Was this answer helpful? Popular questions from Relations and Functions Nishant Jha. Available for mobile on.

Binary operation - Wikipedia

Self Study Courses Class 1 Class 2 Class 3 Class 4 Class 5 Class 6 Class 7 Class 8 Class 9 Class 10 Class Science Class Commerce Class Humanities Class Science Class Commerce Class Humanities JEE: STUDY NCERT Solutions NCERT Books Textbook Solutions Practice Questions Interactive Activities Ask and Answer Vedic Math TEST Formative Assessment Sample Papers Chapter Test Personalized Reports Live Test Series Correspondence Test Pack REVISE Revision Notes Textbook Synopsis DISCOVER Yourself Personality Test Aptitude Test Interest Test Skill Builder Stream Selector FUN Friends Zone Games Corner Daily Teaser Blog COMPANY About Us Our Team Our Advisors Our Experts Testimonials Careers logout-footer.

Applect Learning Systems Pvt. Jobs Real Estate Matrimonials Colleges Jobs in Middle East Fresher Jobs Find People.

Select your Board and Grade to view Study Material. Thank you for your interest.

We will get back to you soon OK.