perplexus.info :: Logic : Different Routes

Different Routes (Posted on 2013-09-09)

+---+   +---+   +---+   +---+   +---+   
| 4 |-->| ● |-->| 9 |-->| ● |-->| 7 |
+---+   +---+   +---+   +---+   +---+
  ^       ^       ^       ^       ^
  |       |       |       |       |      
+---+   +---+   +---+   +---+   +---+   
| ● |-->| 7 |-->| ● |-->| 5 |-->| ● |
+---+   +---+   +---+   +---+   +---+
  ^       ^       ^       ^       ^
  |       |       |       |       |      
+---+   +---+   +---+   +---+   +---+   
| 5 |-->| ● |-->| 9 |-->| ● |-->| 4 |
+---+   +---+   +---+   +---+   +---+  
  ^       ^       ^       ^       ^
  |       |       |       |       |      
+---+   +---+   +---+   +---+   +---+   
| ● |-->| 8 |-->| ● |-->| 6 |-->| ● |
+---+   +---+   +---+   +---+   +---+
  ^       ^       ^       ^       ^ 
  |       |       |       |       |      
+---+   +---+   +---+   +---+   +---+   
| 6 |-->| ● |-->| 8 |-->| ● |-->| 5 |
+---+   +---+   +---+   +---+   +---+

Move from the bottom left-hand 6 to the top right-hand 7 in the direction of the arrows, adding together all the five numbers .

Each black circle is worth minus 5 and this will be taken from the total each time you meet one.

How many different routes are there- each giving a total of 10 ?

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

There are a possibility of 5 routes. These are:
6 5 7 5 7 6 5 7 5 7 6 5 7 5 7 6 5 7 5 7 6 8 5 4 7
For an explanation, refer to:
The simplified solution submitted by Jer in this location.
The computer program assisted solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Simplified solution	Jer	2013-09-09 14:12:50
computer solution	Charlie	2013-09-09 12:11:38

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