Represent any three set operations using Venn-diagram. Give a recursive defined function to find the factorial of any given positive integer.

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Suresh Chand · Accepted Answer

Part a): Let take an example of three sets. X = {1, 2, 5, 6, 7, 9}, Y = {1, 3, 4, 5, 6, 8} and Z = {3, 5, 6, 7, 8, 10} Now, We will find required values such as X ∩ Y ∩ Z, X ∩ Y and Y ∩ Z X ∩ Y ∩ Z = {5, 6} X ∩ Y = {1, 5, 6} Y ∩ Z = {3, 5, 6, 8} X ∩ Z = {5, 6, 7} The venn-digram of above set is Part b): If n ∈ Z+ then factorial is defined as n! = n . (n-1) . (n-2) . (n-3) . . . . . 3 . 2 . 1 The recursive defined function to find the factorial of any given positive integer is (left{begin{matrix}f(n) = n times f(n-1) enspace if enspace n > 1 0 enspace otherwiseend{matrix}right.)

Represent any three set operations using Venn-diagram. Give a recursive defined function to find the factorial of any given positive integer.

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Represent any three set operations using Venn-diagram. Give a recursive defined function to find the factorial of any given positive integer.

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