Created
          November 18, 2015 21:47 
        
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    subgroups and permutations in python
  
        
  
    
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  | Set = ['A', 'B', 'C', 'D'] | |
| Subsets = [] | |
| n = len(Set) | |
| for i in xrange(pow(2, n)): | |
| binaryDigits = (bin(i)[2:]).zfill(n) | |
| subset = '' | |
| j = 0 | |
| for digit in binaryDigits: | |
| if(digit == '1'): | |
| subset += Set[j] | |
| j += 1 | |
| Subsets.append(subset) | |
| print 'distinct subgroups in set', Set, ':' | |
| print Subsets | |
| # - - - - - - - - - - - - - - - - - | |
| import itertools | |
| print 'permutations of set', Set, ':' | |
| print list(itertools.permutations(Set)) | 
  
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