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A motorist knows four different routes from London to Oxford and three different routes from Oxford to Gloucester. How many different routes does the motorist know from London to Gloucester via oxford?

Respuesta :

Answer:

12

Explanation:

Number routes from London to Oxford = 4

The number of ways the motorist could take the route = 4C1 = 4

Where C is Combination

Number routes from from Oxford to Gloucester = 3

The number of ways the motorist could take the route = 3C1 = 3

Number of routes from London to Gloucester via oxford = 4C1 × 3C1 = 4×3

Number of routes motorist knows from London to Gloucester via oxford = 12

fichoh

The total number of different routes that could be taken from London to Gloucester via Oxford can be obtained using the multiplication operation, Hence, the number of different routes are 12.

Given the Parameters :

  • Number of routes from London - > Oxford = 4

  • Number of routes from Oxford - > Gloucester = 3

The number of routes from London - > Gloucester can be calculated thus :

  • Starting point = London
  • Destination = Gloucester

(Number of routes from London - > Oxford) × Number of routes from Oxford - > Gloucester)

Number of routes from London - > Gloucester = (4 × 3) = 12

Therefore, are 12 different routes between London to Gloucester via Oxford.

Learn more :https://brainly.com/question/18796573

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