combinations on operations on sets

The Operations on Sets are: Union of sets, Intersection of sets, Disjoint sets, Difference of two sets (Relative complement), Symmetric Difference of two sets, Complement of a set..

The Algebraic Properties of set operations are: Idempotent laws, Identity laws, Commutative laws, Associative laws, Distributive laws, De Morgan's Law..

Binary Operations - Binary Operations are as given below, Commutative Law Associative Law Let S be any non-empty set. An operation * is called a binary operation on S if " a, b Î S a * b Î SLet S be any non-empty set. An h..

binary operation: Let S be any non-empty set. An operation * is called a binary operation on S if " a, b S a * b S Commutative law: Let * be a binary operation on the set S. * is said to be associative in S if " a..

Determine if the set of natural numbers and the operation of multiplication form a field. => Yes or No..

A number lock has 8 different digits. A combination of two digits can be set to open the lock. How many combinations are possible? => 48 or 56 or 16 or 64..

Summary - The fundamental principle of counting (F.P.C) states that if an operation can be performed in m different ways and if for each such choice, another operation can be performed in n different ways, then both operations, in succession can be performed in exactly..

Law of Combination of Resistance in Parallel - Connect two resistors 'R 1 ' and 'R 2 ' in parallel to one another between the points A and B. Connect this combination to a battery of potential 'V..

Law of Combination of Resistors in Parallel - Connect two resistors 'R 1 ' and 'R 2 ' in parallel to one another between the points A and B. Connect this combination to a battery of potential 'V'. Here the potential difference across R 1 and R 2 will be equal to battery voltage...

A set A is said to be a proper subset of set B if A is a subset of B and A is not equal to B. If A is a proper subset of B, then we write A B. In order to show that A B it is sufficient to show that each element of A is in B and there is at least one element in B, which is not i..