Case Eastern Junior College awarded 26 varsity letters in crew, 15 in swimming, and 16 in soccer. If awards went to 46 students and only 2 lettered in all sports, how many students lettered in two of the three sports?

Two lettered in all three sports. That is given. They got six letters between them.

That leaves 24 crew, 13 swimming and 14 soccer letters (a total of 51 letters) for the other 44 students.

Seven students must have received two, with the other 37 receiving one each.