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

1 answer

after subtracting 2 from each category,
24 in crew, 13 in swimming, 14 in soccor

or 51 total. You have already given away six letters, so you have 44 students, seven less than the total letters to give away. So seven of those must go to duplicate awardees.

check my thinking.