membership
noun
                                                                                                                            
                                                            mem·ber·ship
                    
                                                                                                              
                                                                                                                                  ˈmem-bər-ˌship  
                                                      
                                                          
            
            
               plural memberships            
        
    1
                    
                                          
              
          
                                                      : the state or status of being a member                                      
                
                    
2
                    
                                          
              
          
                                                      : the body of members                                      
              
                             
an organization with a large membership
                         
                
                    3
                    
                                mathematics 
                                  
              
          
                                                      : the relation between an element of a set (see set entry 2 sense 21) or class and the set or class itself   compare inclusion sense 3a                                      
                
                    
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  Merriam-Webster unabridged




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