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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.

Sayantan Garai , 4 Years ago
Grade 10
anser 3 Answers
Arun

Last Activity: 4 Years ago

Dear student
 
As there are n squares from North to south
And 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)!

Sayantan Garai

Last Activity: 4 Years ago

But the answer given is (n+k) Ck.
 
 
 
...................??..??....?.???!! /?.................).. C...... 

Arun

Last Activity: 4 Years ago

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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