Question

list all the sunsets of the set A ={1,4,9,16}​

Answer 1

No. of the elements = n = 4

No. of the subsets = ${2}^{n}$ = 2⁴ = 16

$\sf\underline{Subsets \: of \: A \: = \: {1,4,9,16}}$

1. { }
2. {1}
3. {4}
4. {9}
5. {16}
6. {1 , 4}
7. {1 , 9}
8. {1 , 16}
9. {4 , 9}
10. {4 , 16}
11. {9 , 16}
12. {1 , 4 , 9}
13. {1 , 4 , 16}
14. {1 , 9 , 16}
15. {4 , 9 , 16}
16. {1 , 4 , 9 , 16}