The Count welcomes the viewer to Sesame Street, and reveals that he's looking for something to count. He counts people coming down the stairs (Susan, Gordon, and Maria), and promptly faints! They come to his aid, and he doesn't remember what happened before he fainted, but he still feels like counting. He counts some passing children, and faints again. When he comes to his senses the second time, he thinks it must be the Counting Flu. Maria goes to call the Count's doctor.
Susan describes the Count's symptoms to Dr. Edwynn, and he examines the Count. When he asks the Count to count how many fingers he's holding up, he does so, and faints. He faints again when he hears what the cure for the Counting Flu is: no counting whatsoever.
The Count feels sad about not being able to count anything all day. Maria suggests that maybe she can count for him, which makes him happier. She starts counting nails, but he still faints.
Susan and Gordon have lunch outside of Hooper's. Maria brings the Count over to them, and reports that things aren't going so well, because there's so much to count, including the chips in the bowl. Gordon thinks it will help if he's blindfolded and can't see anything to count, but he hears some Honkers honking, counts their honks, and faints.
The Count now has both a blindfold and earmuffs, so he can't see or hear anything to count. Yet, he imagines that he's not sick anymore, and can count the cracks in the sidewalk. Back in the present, he faints again, and the adults realize they can't blindfold his imagination.
At night, the Count wakes up from his nap and takes the blindfold and earmuffs off. He wakes up Maria, who was also sleeping. They both wonder if he's well again, and he puts himself to the test by counting the stars. He doesn't faint, which means he's cured! He continues to count the stars as Dr. Edwynn announces the sponsors.