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?

$12$

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$24$

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$48$

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$60$

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Solution

The correct option is B
$24$

Correct option: (b) $24$
Given
$4$ routes from Bristol to Birmingham
$3$ routes from Birmingham to Sheffield
$2$ routes from Sheffield to Carlisle
Total number of routes from Bristol to Carlisle $= 4 x 3 x 2 = 24$
Therefore, a motorist knows $24$ routes from Bristol to Carlisle
Hence, the correct option is (b)

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