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

Draw a shape, like triangle, square, round, oval and put put the elements in it...

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

boo3972

03.01.2022

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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