Multiplication Theorem Theorem: If A and B are two independent events, then the probability that both will occur is equal to the…
graphs
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Operations on Sets The basic set operations are: 1. Union of Sets: Union of Sets A and B is defined to be…
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Recursive functions in discrete mathematics A recursive function is a function that its value at any point can be calculated from the…
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Identity Functions The function f is called the identity function if each element of set A has an image on itself i.e.…
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Multisets A multiset is an unordered collection of elements, in which the multiplicity of an element may be one or more than…
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Surjective Function in Discrete Mathematics The surjective function is also known as onto function. With the help of surjective function, we show…
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Complete Graph A graph G is said to be complete if every vertex in G is connected to every other vertex in…
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Types of Functions 1. Injective (One-to-One) Functions: A function in which one element of Domain Set is connected to one element of…
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The Pigeonhole Principle If n pigeonholes are occupied by n+1 or more pigeons, then at least one pigeonhole is occupied by greater…
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Regular Grammar in Discrete Mathematics The regular languages can be generated by regular grammar. In regular grammar, the left-hand side always consists…