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The streets of a city are arranged like the lines of a chess board. There are ‘m’ streets running North to South and ‘n’ streets running East to West. The number of ways in which a man can travel from NW to SE corner going the shortest possible distance is:

A

`(6!)/(4!2!)`

B

`56`

C

`(8!)/(5!3!)`

D

`15`

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The correct Answer is:
A
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The streets of city are arranged like the lines of a chess board. There are 5 streets runnings North to South & '3' streets running East to West. The numberof ways is which a man can travel from NW to SE corner going the shortest possible ditance is :

The streets of a city are arranged like the like the lines of a chess board. There are m streets running from north to south and n streets from east to west. Find the number of ways in which a man can travel from north-west to south-east corner, covering shortest possible distance.

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