If number of proper subsets of A are 31 then the cardinality of A?
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Answer:
Solution:
It is given that ,
Number of proper subsets of set A = 31
2^{n} - 1=312
n
−1=31
=> 2ⁿ = 31+1
=> 2ⁿ = 32
\implies 2^{n} = 2^{5}⟹2
n
=2
5
=> n = 5
Therefore,
Number of elements in set A = 5
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