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) 12 (b) 24 (c) 48 (d) 60

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

So, the correct option is (b)

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