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Anonymous
Anonymous asked in Entertainment & MusicMusicClassical · 3 weeks ago

Out of 100 people, 49 liked A 53 likes B and 62 liked C. 27 liked A&B, 29 liked B&C and 28 Liked A&C, 5 liked none.  How many liked...?

How many liked A B AND C (all three)?

How many Liked ONLY A

How many Liked ONLY B

How many Liked only A, B or C

How many Liked either A and B, A&C or B&C?

I have looked at this four literally three hours please help !!

Update:

@? That only gets me so far...

I know the following

At Least Like A  49At Least Like B 53At Least Like  C 62At Least Like A & B  27At Least Like A & C 28At Least Like B & C29 Like None 5Do Not Like A 51Do Not Like B 47Do Not Like C 38Likes something other than A 46Likes something other than B 42Likes something other than C 33Like A NOT  B22Like A NOT C 21Like B NOT A  26Like B NOT C24Like  C NOT A  34Like  C NOT  B 33

2 Answers

Relevance
  • Anonymous
    2 weeks ago

    This is not a question about Classical Music.  It should get moved to Mathematics.

  • User
    Lv 7
    3 weeks ago

    OK, let's try to do this step-by-step.

    Alikers- 49 like A

    Blikers - 53 like B

    ABlikers - 27 like A & B

    that means that there are 27 in common between Alikers and Blikers.

    SO:

    Alikers - 27 like B, therefore 22 do NOT like B

    Blikers - 27 like A, therefore 26 do NOT like A

    Get the process?

    Keep doing this for all of the groups.

    You should be able to use this process to calculate the answers to the questions.

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