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?

Answers

Answer 1

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

Answer 2

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.

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Related Questions

Which of the following is an acceptable source of potable water?
Boiler water
.
Private well water
.
Mop water
Untreated water

Answers

Answer:

An acceptable source of potable water is private well water.

Explanation:

A water well is usually a dug or drilled hole in the ground to be able to use groundwater. In addition, there are wells that aim to collect rainwater (rain well). They primarily serve to provide drinking water.  

If the groundwater is just below the earth's surface, which is usually the case in humid environments, the groundwater level is easily reached by fairly simple digging. The excavated pit is usually also enclosed by bricks, so that the excavated hole can remain narrow over the entire length of the pit and also does not collapse if the soil itself becomes more humid and therefore less solid.

A water well is a hole that is dug or drilled for using the groundwater and the aim of the well is to collect rainwater.

It mainly serves the purpose of drinking water. As groundwater is under the surface of the earth. In a humid environment, the water can be easily reached by this method. An excavation put is also dug for the same reason.

Hence the option B is correct. That is private well water.

Learn more about the acceptable source of potable water.

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пеу
The table shows the money Frank has saved for college
so far.
Frank needs to save $1,800 in all for college. How
much more money does he need to save?
Month
Money Saved
$
January
$100
February
$80
March
$50

Answers

Answer:

$1570

Explanation:

The amount of money he need to save is $1570.

Given data

In January, he saved $100

In February, he saved $80

In March, he saved $50

Target saving = $1,800

The amount need to save = $1,800 - ($100 + $80 + $50)

The amount need to save = $1,800 - $230

The amount need to save = $1570

In conclusion, the amount of money he need to save is $1570.

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