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CBSE Class 11-commerce Answered

prove that there are always even number of subsets of a non empty set  
Asked by maanavsachdeva23 | 02 Aug, 2018, 12:03: AM
answered-by-expert Expert Answer
begin mathsize 16px style Let space the space set space straight A space contains space straight n space elements... left parenthesis since comma space straight A space is space straight a space non minus empty space set right parenthesis straight A space particular space element space of space straight a space set space straight A space can space be space or space can apostrophe straight t space be space selected space to space form space straight a space subset space of space straight A. There space are space 2 space choices space for space each space element. rightwards double arrow The space number space of space subsets space of space straight A space are space 2 space cross times space 2 space cross times 2..... straight n space times rightwards double arrow There space are space always space 2 to the power of straight n space subset space of space straight a space given space set space having space straight n space element. 2 to the power of straight n space is space always space an space even space number. rightwards double arrow There space are space always space even space number space of space subsets space of space straight a space non minus empty space set. end style
Answered by Yasmeen Khan | 02 Aug, 2018, 10:10: AM

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CBSE 11-commerce - Maths
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