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In a class of 65 students, 25 speak Spanish, 32 are excellent cooks, and 50 love...

In a class of 65 students, 25 speak Spanish, 32 are excellent cooks, and 50 love dogs. Each student is in at least one of these categories. There are 18 Spanish speakers who don’t cook. There are 21 dog lovers who are excellent cooks. There are 4 cooks who speak Spanish and do not love dogs. Determine the number of students in the class in each of the following categories:

(a) Speak Spanish and love dogs

(b) Love dogs and cannot cook

(c) Speak Spanish, are excellent cooks, and love dogs

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