Question

Jack wants to bike from his house to Jill's house, which is located three blocks east and two blocks north of Jack's house. After biking each block, Jack can continue either east or north, but he needs to avoid a dangerous intersection one block east and one block north of his house. In how many ways can he reach Jill's house by biking a total of five blocks?

Answer 1

Your answer would be 4.

$\frac{2}{1} x \frac{3}{2}$  = 6 choices and a total of  $\frac{5}{10}$=10 total
So then 10-6=4