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no of ways of choosing a pair of subsets (B,C) of A ...

Source: 1992 Irmo Paper 1 problem 3

November 21, 2022
combinatorics

Problem Statement

Let AA be a nonempty set with nn elements. Find the number of ways of choosing a pair of subsets (B,C)(B,C) of AA such that BB is a nonempty subset of CC.