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Of $40$ different styles of couches in a department store, $10$ have green cushions, $25$ are leather, and $15$ offer a warranty. $8$ of the couches have green cushions made out of leather and do not offer a warranty. No one couch has warranty-protected, non-leather green cushions or warranty-protected, non-green leather cushions.

How many of the couches have all three traits?

A

$0$

B

$1$

C

$2$

D

$3$

E

$4$

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