CBSE Class 11-science Answered
Explain proof for the total number of all subsets of containing n elements is 2n.
Asked by | 09 Apr, 2008, 03:23: PM
Expert Answer
To explain this theorem
Let us consider a set A consisting of 5 elements.
n(A)=5.
No. Of Subsets containing no element=5C0
No. Of Subsets containing 1 elements=5C1
No of subsets containing 2 elements=5C2
No of subsets containing 3 elements=5C3
No of subsets containing 4 elements=5C4
No of subsets containing 5 elements=5C5
5C0+5C1+5C2+5C3+5C4+5C5= 32 = 25
Hence proved.....
Answered by | 09 Apr, 2008, 05:29: PM
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