Binary Operation Tables

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Question 1:
How many different binary operations can be defined on a set with 2 elements (01:53)?
3 elements (02:44)?
n elements (03:15)?
Question 2:
How many different commutative binary operations can be defined on a set with 2 elements (03:34)?
3 elements (05:48)?
n elements (07:59)?
  1. Math Matters
  2. binary operation table;
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Комментарии
Автор

Can't express how helpful this video has been ;)

randomania_
Автор

If our set is finite, how we can perform an operation, like a*a? We have just one 'a' element in the set!

Human__Science