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  1. Let A = {1, 2, 3, 4, 5}.

    (a) How many subsets of 3 elements does the set A have?
    (b) How many subsets of A have no more than 3 elements?

 Oct 28, 2019
edited by Bleh674  Oct 28, 2019
edited by Bleh674  Oct 28, 2019
edited by Bleh674  Oct 28, 2019
 #1
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a)  C (5,3)   = 10 subsets

 

b)  

Total of subsets with no elements  =  1

Total of subsets with one element  = 5

Total of subsets with two elements  =C (5,2)  = 10

Total of subsets with three elements = C(5,3)  = 10

 

So....we have 1 + 5 + 10 + 10  =   26 subsets with no more than three elements

 

 

cool cool cool

 Oct 28, 2019

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