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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Answered by
5
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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Answered by
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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
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