Littleman10145d
Littleman10145d Littleman10145d
  • 09-01-2017
  • Mathematics
contestada

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

Respuesta :

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 [tex]2^n[/tex]

Here, we are given that

[tex]2^n=1024[/tex]

We know that

[tex]1024=2^{10}[/tex]

i.e. [tex]2^n=2^{10}[/tex]

Hence, n=10

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

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