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On a map there are 5 different routes from A to B, 7 different routes from B to C, 2 different routes from C to

On a map there are 5 different routes from A to B, 7 different routes from B to C, 2 different routes from C to D and 3 different routes from D to E. How many different routes are possible from A to E if the route must first pass through B then C and then D before reaching E.

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