Chapter 6 - Section 6.3 - Decision Algorithms: The Addition and Multiplication Principles - Exercises - Page 425: 37

$4$

The first blank can only be filled with "Syracuse", because we can see Syracuse in the second round. The second blank can be either North Carolina or Central Connecticut. This is two possibilities. The third blanks can be Syracuse, or the one from North Carolina and Central Connecticut, the one who went on to the second round. This is two possibilities. This gives $1*2*2=4$ different ways to fill in the blanks.