## BdMO National Higher Secondary 2014/8

Discussion on Bangladesh Mathematical Olympiad (BdMO) National
samiul_samin
Posts: 1007
Joined: Sat Dec 09, 2017 1:32 pm

### BdMO National Higher Secondary 2014/8

Screenshot_2018-02-16-23-00-01-1-1.png
You are stuck in a \$2d\$ plane and your movement is limited to the two dimension grid shown above.You start at point point (\$0,0\$) and have to reach the end point of (\$10,0\$),if your current position is (\$x,y\$) ,you may move to (\$x+1,y+1\$),(\$x+1,y\$) and (\$x+1,y-1\$) if the dimension point is inside the grid.For example you may move from (\$0,0\$) to (\$1,1\$),(\$1,0\$) & (\$1,-1\$);you may move from (\$3,1\$) to (\$4,1\$) and (\$4,0\$).So,how many different paths exist from (\$0,0\$) to (\$10,0\$)?

samiul_samin
Posts: 1007
Joined: Sat Dec 09, 2017 1:32 pm

### Re: BdMO National Higher Secondary 2014/8

Hint

samiul_samin
Posts: 1007
Joined: Sat Dec 09, 2017 1:32 pm

### Re: BdMO National Higher Secondary 2014/8

samiul_samin wrote:
Fri Feb 16, 2018 11:14 pm
Hint
This solution is wrong.I have miscalculated some steps.
Anyone please post the correct solution.

samiul_samin
Posts: 1007
Joined: Sat Dec 09, 2017 1:32 pm

### Re: BdMO National Higher Secondary 2014/8

samiul_samin wrote:
Fri Feb 16, 2018 11:12 pm

You are stuck in a \$2d\$ plane and your movement is limited to the two dimension grid shown above.You start at point point (\$0,0\$) and have to reach the end point of (\$10,0\$),if your current position is (\$x,y\$) ,you may move to (\$x+1,y+1\$),(\$x+1,y\$) and (\$x+1,y-1\$) if the dimension point is inside the grid.For example you may move from (\$0,0\$) to (\$1,1\$),(\$1,0\$) & (\$1,-1\$);you may move from (\$3,1\$) to (\$4,1\$) and (\$4,0\$).So,how many different paths exist from (\$0,0\$) to (\$10,0\$)?
Screenshot_2019-02-21-17-01-22-2.png (4.06 KiB) Viewed 1067 times