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Amy has to visit towns B and C in any order. The roads conne
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05 Feb 2018, 21:39
05 Feb 2018, 21:39
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Question Stats:
56% (01:31) correct
43% (01:04) wrong based on 16 sessions
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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
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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
