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Set Theory: Important Number Systems as Sets (N, Z, Q, Ir, R, C) - Part 2

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(Mathematical Induction) - Proof a set with N elements has 2^N Subsets

Consider the set N×N, the set of all ordered pairs of natural numbers. Let R be a relation in N×N

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The number of elements in the set \(\quad\{n \in \mathrm{N}: 10 \leq n \leq\) 100 and \(3^n-3\) i...

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The number of elements in the set {n∈N:10≤n≤100 and 3^3−3 is a multiple of 7} is #iit #jeemain2023

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power set of N has power of continuum