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A rectangular city is divided by streets into squares. There are n such squares from north to south and k squares from east to west. Find the number of shortest walks from the north-eastern end of the city to the south-western end.
Dear student As there are n squares from North to southAnd k squsres from East to west.Hence there are n+1 and k+1 lines respectively. Hence total required ways = (n+k+2)! /( n+1)! (k+1)!
But the answer given is (n+k) Ck. ...................??..??....?.???!! /?.................).. C......
Oh sorry We count from 0.Hence (n+k)!/ n! k!Or we can also say n+kCk or n+kCn. Hope now you understand
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