Question

C={2,3,5,7},find the number of subsets of C which has 3 elements

Answer 1

Given: $C=[2,3,5,7]$

We have to find the number of subsets of C which has 3 elements.

As we know that for n elements, the number of subsets$=2^{n}$

We are solving in the following way:

We have,

$C=[2,3,5,7]$

=> Set = $[2,3,5,7]$

$=>n(Set)=4$

For n elements, the number of subsets$=2^{n}$

here,

$n=3$

So, the number of subsets will be:

$=>2^{n} \\\\=>2^{3} \\\\=>8$

Hence, the number of subsets is$8$.