Venn diagram of the interests and disdains of cats. 47 only like catnip , 48 onl

Question

Venn diagram of the interests and disdains of cats.

47 only like catnip, 48 only like sardines, and 15 only like yarn;

16 only like yarn and sardines, 43 only catnip and sardines,  and 21 only likeyarn and catnip;

8 only like them all, but only Mr. Mistoffelees can admit he loathes all signs of "human dependence".

How many cats came to the park (including Mr. Mistoffelees)?

Let the F be the set of cats in the park. C, Y and S are subsets of F. C is the subset of cats fascinated by catnip. Y is the subset of cats fascinated by yarn. S is the subset of cats fascinated by sardines.

How many cats are in subset Y?  cats.

How many cats are in subset S?  cats.

Of the cats who loathe sardines (SC), how many are fascinated by catnip (C)? cats.

Explanation / Answer

How many cats came to the park

198

How many cats are in subset Y

= 60

How many cats are in subset S

=115

How many cats are in Y S

103

Of the cats who loathe sardines (SC), how many are fascinated by catnip (C)?

43.

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