GRE Prep 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.
Amy has to visit towns B and C in any order. The roads conne
[#permalink]
05 Feb 2018, 21:39
05 Feb 2018, 21:39
1
00:00
Question Stats:
56% (01:31) correct
43% (01:04) wrong based on 16 sessions
Hide Show timer Statistics
Amy has to visit towns B and C in any order. The roads connecting these towns with her home are shown on the diagram. How many different routes can she take starting from A and returning to A, going through both B and C (but not more than once through each) and not travelling any road twice on the same trip?
A) 10
B) 8
C) 6
D) 4
E) 2
A) 10
B) 8
C) 6
D) 4
E) 2
Attachments
p001-9.gif [ 871 Bytes | Viewed 8410 times ]
Re: Amy has to visit towns B and C in any order. The roads conne
[#permalink]
05 Feb 2018, 22:58
05 Feb 2018, 22:58
amorphous wrote:
Amy has to visit towns B and C in any order. The roads connecting these towns with her home are shown on the diagram. How many different routes can she take starting from A and returning to A, going through both B and C (but not more than once through each) and not travelling any road twice on the same trip?
Can you share the source plz??
Re: Amy has to visit towns B and C in any order. The roads conne
[#permalink]
05 Feb 2018, 23:06
05 Feb 2018, 23:06
amorphous wrote:
Amy has to visit towns B and C in any order. The roads connecting these towns with her home are shown on the diagram. How many different routes can she take starting from A and returning to A, going through both B and C (but not more than once through each) and not travelling any road twice on the same trip?
A) 10
B) 8
C) 6
D) 4
E) 2
A) 10
B) 8
C) 6
D) 4
E) 2
Here we can assume few possibilities
1st : - let us go to B first, then C and back to A, then we have the following possibilities-
From A to B we have 1 way
From B to C we have 2 ways
From C to A we have 2 ways
Total number of ways = 1*2*2 = 4
2nd - let us go to C first then B and then back to A, we have the following possibilities-
From A to C we have 2 way
From C to B we have 2 ways
From B to A we have 1 way
Total number of ways = 2*2*1 = 4
Total number of ways = 4+4 = 8
