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A motorist knows four different routes from Bristol to Birmingham. From Birmingham to Sheffield he knows three different routes and from Sheffield to Carlisle he knows two different routes. How many routes does he know from Bristol to Carlisle ?
  • a)
    4
  • b)
    8
  • c)
    12
  • d)
    24
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A motorist knows four different routes from Bristol to Birmingham. Fro...
Total number of routes from Bristol to Carlisle = (4 x 3 x 2) = 24.
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A motorist knows four different routes from Bristol to Birmingham. Fro...
To find the number of routes from Bristol to Carlisle, we need to multiply the number of routes from Bristol to Birmingham, Birmingham to Sheffield, and Sheffield to Carlisle.

Number of routes from Bristol to Birmingham = 4
Number of routes from Birmingham to Sheffield = 3
Number of routes from Sheffield to Carlisle = 2

Let's calculate the total number of routes from Bristol to Carlisle.

1. Number of routes from Bristol to Birmingham:
- The motorist knows four different routes from Bristol to Birmingham.

2. Number of routes from Birmingham to Sheffield:
- The motorist knows three different routes from Birmingham to Sheffield.

3. Number of routes from Sheffield to Carlisle:
- The motorist knows two different routes from Sheffield to Carlisle.

Now, let's multiply these numbers together to find the total number of routes from Bristol to Carlisle:

Total number of routes = Number of routes from Bristol to Birmingham * Number of routes from Birmingham to Sheffield * Number of routes from Sheffield to Carlisle
= 4 * 3 * 2
= 24

Therefore, the motorist knows 24 different routes from Bristol to Carlisle.

Hence, the correct answer is option D) 24.
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A motorist knows four different routes from Bristol to Birmingham. From Birmingham to Sheffield he knows three different routes and from Sheffield to Carlisle he knows two different routes. How many routes does he know from Bristol to Carlisle ?a)4b)8c)12d)24Correct answer is option 'D'. Can you explain this answer?
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