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Let X = {1, 2, 3, 4, 5}. The number of different ordered pairs (Y, Z) that can formed such that Ysubset X, Z subset X and Y∩Z is empty, is? ...
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Let S={1,2,3,..........n}.If x denotes the set of all subsets of S containing exactly two elements having 1 as least element,then what is the cardinality of X? ...
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In an examination hall there are four rows of chairs. Each row has 8 chairs one behind the other.There are two classes sitting for the examination with 16 students in each class.It is desired that in each row,all students bel ...
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What is the distance x between two cities A and B in integral number of kilometres? I. x satisfies the equation log2 x = √x II. x≤10 km Plz ans in detail. ...
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Prove that 33! is divisible by 215. What is the largest integer n such that 33! is divisible by 2n? Plz give detailed ans. ...