mauracortes mauracortes
  • 23-07-2021
  • Mathematics
contestada

How many paths are there from C to E?
Оeri
В
12
8
О 10
O 14

How many paths are there from C to E Оeri В 12 8 О 10 O 14 class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 02-08-2021

9514 1404 393

Answer:

  (b)  8

Step-by-step explanation:

We assume that a path must not repeat any node. (So, loops at G are forbidden.)

There are 2 paths through B to A.

There are 2 paths through D to A, so a total of 4 ways to get from C to A.

There is one path from A to H.

There are two paths from H to F, and one path from F to E.

The total number of possible paths is (4)(1)(2)(1) = 8.

Here is a list.

  CBAHFE, CDBAHFE, CBAHGFE, CDBAHGFE,

  CDAHFE, CBDAHFE, CDAHGFE, CBDAHGFE

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