What are the answer choices
        
             
        
        
        
Let u be the set of all words containing 7 letters(26 letters to the power 7)
        
             
        
        
        
Answer is 43 degrees for #6, and selection C for #7
        
             
        
        
        
Answer:
Step-by-step explanation:
Let us assume that if possible in the group of 101, each had a different number of friends.  Then the no of friends 101 persons have 0,1,2,....100 only since number of friends are integers and non negative.
Say P has 100 friends then P has all other persons as friends.  In this case, there cannot be any one who has 0 friend.  So a contradiction.  Hence proved
Part ii: EVen if instead of 101, say n people are there same proof follows as
if different number of friends then they would be 0,1,2...n-1
If one person has n-1 friends then there cannot be any one who does not have any friend.
Thus same proof follows.
 
        
             
        
        
        
I think that the answer is 
5/6
hope i helped :)