Question

A secretary works in a building located nine blocks east and eight blocks north of his home. Every day he walks 17 blocks to work. (See the map that follows.) (a) How many different routes are possible for him? (b) How many different routes are possible if the one block in the easterly direction, which begins four blocks east and three blocks north of his home, is under water (and he can't swim)? (Hint Count the routes that use the block under water.)

          A secretary works in a building located nine blocks east and eight blocks north of his home. Every day he walks 17 blocks to work. (See the map that follows.)
(a) How many different routes are possible for him?
(b) How many different routes are possible if the one block in the easterly direction, which begins four blocks east and three blocks north of his home, is under water (and he can't swim)? (Hint Count the routes that use the block under water.)

Added by Celia T.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Kari Hasz

11/07/2022

Step 1

The secretary needs to walk from his home to his office, which is located 9 blocks east and 8 blocks north. This means he needs to make a total of 17 moves: 9 moves east (E) and 8 moves north (N). Show more…

Show all steps

Thanks for your feedback!

A secretary works in a building located nine blocks east and eight blocks north of his home. Every day he walks 17 blocks to work. (See the map that follows.) (a) How many different routes are possible for him? (b) How many different routes are possible if the one block in the easterly direction, which begins four blocks east and three blocks north of his home, is under water (and he can't swim)? (Hint Count the routes that use the block under water.)