Question

Write an activity to find the number of subsets of a given set and verify that if a set has n number of elements then the total number of subsets is 2n .

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▪ please don't put unnecessary informations to destroy app rules
▪ those who can't understand they no need to mention in the answer slot

Answer 1

Answer:

Number of Subsets of a given Set:

1-If a set contains 'n' elements, then the number of subsets of the set is 22.

2-If a set contains 'n' elements, then the number of proper subsets of the set is 2n - 1.

⇒ Number of proper subsets of A are 3 = 22 - 1=4-1.

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Answer 2

Step-by-step explanation:

for example

let A= ( 1,2,3,)

subsets of A are - NULL SET,(1),(2),(3),(1,2),(1,3),(2,3),(1,2,3).

NOTE : EMPTY SET/NULL SET AND A SET ITSELF IS A SUBSET OF ALL SETS

2 power n (where the n means number of elements in the set)

so, here there are the three elements

2 power 3 =2×2×2 = 8

therefore set A Has 8 subsets

hence proved,

hope it helps you