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Littleman10145d
Littleman10145d Littleman10145d
  • 09-01-2017
  • Mathematics
Answered

If a set has 1,024 subsets, how many elements does it have?

Verified Answer :

erato erato
  • 25-06-2019

Answer:

If a set has 1,024 subsets,then it has 10 elements

Step-by-step explanation:

If A is a set containing n elements then total numbers of subsets of A are \(2^n\)

Here, we are given that

\(2^n=1024\)

We know that

\(1024=2^{10}\)

i.e. \(2^n=2^{10}\)

Hence, n=10

Hence, If a set has 1,024 subsets,then it has 10 elements

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