PUMaC 2017 Team Problem 11

For a sequence of 10 coin flips, each pair of consecutive flips and count the number of “Heads-Heads”, “Heads-Tails”, “Tails-Heads”, and “Tails-Tails” sequences is recorded. These four numbers are then multiplied to get the Tiger number of the sequence of flips. How many such sequences have a Tiger number of 24?