In a class of 65 students, 25 speak Spanish, 32 are excellentcooks, and 50 love dogs. Each student is in at least one of thesecategories. There are 18 Spanish speakers who don’t cook. There are21 dog lovers who are excellent cooks. There are 4 cooks who speakSpanish and do not love dogs. Determine the number of students inthe 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
