Math grd12

posted by .

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

  • Math grd12 -

    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 ?

  • Math grd12 -

    735

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    -All our streets run north-south or east-west, and the shop is 6 blocks east and 8 blocks north.I lost both races.The first tim, i rode directly east for 6 blocks and then directly north for 8 blocks.the next time i tried zig-zagging.both …
  2. math

    All our streets run north-south or east-west, and the shop is 6 blocks east and 8 blocks north.I lost both races.The first tim, i rode directly east for 6 blocks and then directly north for 8 blocks.the next time i tried zig-zagging.both …
  3. math

    All our streets run north-south or east-west, and the shop is 6 blocks east and 8 blocks north.I lost both races.The first tim, i rode directly east for 6 blocks and then directly north for 8 blocks.the next time i tried zig-zagging.both …
  4. Math

    faizel wants to travel from his house to the hardware store that is six blocks east and five blocks south of his home. If he walks east and south, how many different different routes can he follow from his house to the store?
  5. Data Mangement- Math

    Nancy lives in a subdivision where the streets are laid out in a grid pattern. Her school is six blocks south and four blocks east of her home. How many different direct routes could she take when she bicycles to school if she always …
  6. physics

    In a city grid, each block on the east-west streets is 100 meters long. Each block on the north-south streets is 20 meters long. A walker walks 4 blocks west and then 4 blocks south. How much father did the walker travel than the actual …
  7. Physics

    In a city grid, each block o the east-west streets is 180 meters long. Each block on the north-south streets is also 180 meters long. A walker walks 4 blocks north and then 3 blocks east. How much father did the walker travel than …
  8. math

    Downtown Mathville is laid out as a square grid of 9 North-South streets and 9 East-West streets (See diagram). Your apartment is located at the Southwest corner of downtown Mathville. (See point T.) Your math classroom is located …
  9. physics

    In a city grid, each block on the east-west streets is 180 meters long. Each block on the north-south streets is also 180 meters long. A walker walks 4 blocks north and then 3 blocks east. How much farther did the walker travel than …
  10. Math

    From home, Todd walked 3 blocks south and 2 blocks east to a friend's house.Then they walked 6 blocks west to school. He cannot cut across blocks. How many blocks from school does Todd live?

More Similar Questions