Question

if A={ x,y,z} then the number of non- empty subsets of A is 1)8. 2) 5 3) 6 4)7 . please tell the answer in step by step . ​

Answer 1

$\huge\boxed{\fcolorbox{black}{purple}{Answer}}$

$\bold\purple{\underline{Given:-}}$

▪A = { x, y, z}

$\bold\pink{\underline{To\:find:-}}$

▪The number of non - empty subsets.

$\huge\bold\red{\underline{Solution:-}}$

A = { x, y, z}

So, subsets are :- {x} , {y} , {z} , {x , y} , {y , z} , {z , x} , {x , y , z} , ∅

A set has 8 subsets and among them { } is empty set.

∵ A set has,

▪8 subsets

▪1 empty subset

∴ The number of non - empty subsets is $\bold{ = (8 - 1) = 7}$

$\bold\blue{\boxed{Hence,\:The\:Correct\:Option\:is\:(4)\: 7}}$

Answer 2

Step-by-step explanation:

8 subsets

1 empty

(8-1)=7

Hence the option 4) 7

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