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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 ($10,0$)?BdMO National Higher Secondary 2014/8
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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 ($10,0$)?
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- Posts:1007
- Joined:Sat Dec 09, 2017 1:32 pm
Re: BdMO National Higher Secondary 2014/8
Hint
Answer
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- Posts:1007
- Joined:Sat Dec 09, 2017 1:32 pm
Re: BdMO National Higher Secondary 2014/8
This solution is wrong.I have miscalculated some steps.
Anyone please post the correct solution.
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- 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 ($10,0$)?