Question

List all the subsets of the Set A = { 1, 4, 9, 16}​

Answer 1

• Step-by-step explanation:

To Find :

• All subsets of set A

solution :

• A = {1 ,4 ,9 ,16}

Formula for finding number of subsets of a set

• $2^{n}$

where

• n = number of elements

Set A has 4 elements

No of subsets = 2⁴

= 2 × 2 × 2 × 2

= 16

• Subsets of set A are :

A = {1} , {4} , {9} ,{16} , {1 ,4} , {1,9} , {1 ,16} ,{4 ,9} ,{4 , 16}, {9 ,16} , {1 ,4 ,9} ,{4 ,9 ,16} , {1 , 4, 16} , {1 ,9 ,16} , {1 ,4 ,9 , 16} , {}

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