Gisela lives in a subdivision where the streets are laid out in a grid pattern. Her school is eight blocks south and six blocks east of her home. How many different direct routes could she take when she bicycles to school if she always stops by her friend's home, which is three blocks south and four blocks east of Gisela's home. Explain your reasoning.

Question

The final answer is 735.
Thanks for all the help that is provided:)

Answer 1

She first must go any permutation of SSSEEEE ways to get to the friends house.
That results in 7!/(3!4!) or 35 ways.

That leaves you with 5 southern paths, and 2 eastern paths.

the remaining trip can be done in 7!/(5!2!) or 21 ways.
What is 35 x 21 ?

Answer 2

735