|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
03 Nov 2021, 03:45
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
58% (02:41) correct
42%
(02:45)
wrong
based on 107
sessions
History
Date
Time
Result
Not Attempted Yet
In city A, the streets are aligned in a grid, where the east-west roads are called 1st Rd, 2nd Rd, 3rd Rd, etc, increasing in number as one moves northward. The north-south roads are called 1st Ave, 2nd Ave, 3rd Ave, etc, increasing in number as one moves eastward. If Bill needs to walk from the corner of 2nd Rd and 3rd Ave to the corner of 6th Rd and 8th Ave in the shortest possible time, how many different routes could he take?
A. 2772
B. 126
C. 117
D. 84
E. 9
A. 2772
B. 126
C. 117
D. 84
E. 9
03 Nov 2021, 08:41
Kudos
Bookmarks
Looking at his movement eastwards: He is at 2nd Road and is going to 6th Road, which means there are 4 roads which he needs to cover.
Looking at his movement northwards: He is at 3rd Ave. and is going to 8th Ave., which means he will need to cross 5 Ave.
As he can move right and up multiple roads and avenues, arrange the 4 roads and 5 Ave.
\(\frac{9!}{4!5!}\)
\(=126\)
Answer B
Looking at his movement northwards: He is at 3rd Ave. and is going to 8th Ave., which means he will need to cross 5 Ave.
As he can move right and up multiple roads and avenues, arrange the 4 roads and 5 Ave.
\(\frac{9!}{4!5!}\)
\(=126\)
Answer B
