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Move fast … Or you will lose
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$begingroup$
Suppose you're on a 4 × 6 grid, and want to go from the bottom left to the top right. How many different paths can you take? Avoid backtracking -- you can only move right or up.
pattern geometry
edited 5 hours ago
Dr Xorile
12.8k22569
asked 8 hours ago
Alpha-qAlpha-q
223
$endgroup$
add a comment |
$begingroup$
Suppose you're on a 4 × 6 grid, and want to go from the bottom left to the top right. How many different paths can you take? Avoid backtracking -- you can only move right or up.
pattern geometry
edited 5 hours ago
Dr Xorile
12.8k22569
asked 8 hours ago
Alpha-qAlpha-q
223
$endgroup$
2
$begingroup$
I think its from this site betterexplained.com/articles/…
$endgroup$
– Purple
8 hours ago
$begingroup$
(In the future please be aware that for content you did not create yourself, proper attribution is required. You need to include (at minimum) where it came from—and any additional context you can provide is often helpful to solvers. Posts which use someone else's content without attribution are generally deleted.)
$endgroup$
– Rubio♦
5 hours ago
add a comment |
$begingroup$
Suppose you're on a 4 × 6 grid, and want to go from the bottom left to the top right. How many different paths can you take? Avoid backtracking -- you can only move right or up.
pattern geometry
edited 5 hours ago
Dr Xorile
12.8k22569
asked 8 hours ago
Alpha-qAlpha-q
223
$endgroup$
Suppose you're on a 4 × 6 grid, and want to go from the bottom left to the top right. How many different paths can you take? Avoid backtracking -- you can only move right or up.
pattern geometry
pattern geometry
edited 5 hours ago
Dr Xorile
12.8k22569
asked 8 hours ago
Alpha-qAlpha-q
223
edited 5 hours ago
Dr Xorile
12.8k22569
asked 8 hours ago
Alpha-qAlpha-q
223
edited 5 hours ago
Dr Xorile
12.8k22569
edited 5 hours ago
Dr Xorile
12.8k22569
edited 5 hours ago
Dr Xorile
12.8k22569
12.8k22569
asked 8 hours ago
Alpha-qAlpha-q
223
asked 8 hours ago
Alpha-qAlpha-q
223
asked 8 hours ago
Alpha-qAlpha-q
223
223
2
$begingroup$
I think its from this site betterexplained.com/articles/…
$endgroup$
– Purple
8 hours ago
$begingroup$
(In the future please be aware that for content you did not create yourself, proper attribution is required. You need to include (at minimum) where it came from—and any additional context you can provide is often helpful to solvers. Posts which use someone else's content without attribution are generally deleted.)
$endgroup$
– Rubio♦
5 hours ago
add a comment |
2
$begingroup$
I think its from this site betterexplained.com/articles/…
$endgroup$
– Purple
8 hours ago
$begingroup$
(In the future please be aware that for content you did not create yourself, proper attribution is required. You need to include (at minimum) where it came from—and any additional context you can provide is often helpful to solvers. Posts which use someone else's content without attribution are generally deleted.)
$endgroup$
– Rubio♦
5 hours ago
2
2
$begingroup$
I think its from this site betterexplained.com/articles/…
$endgroup$
– Purple
8 hours ago
$begingroup$
I think its from this site betterexplained.com/articles/…
$endgroup$
– Purple
8 hours ago
$begingroup$
(In the future please be aware that for content you did not create yourself, proper attribution is required. You need to include (at minimum) where it came from—and any additional context you can provide is often helpful to solvers. Posts which use someone else's content without attribution are generally deleted.)
$endgroup$
– Rubio♦
5 hours ago
$begingroup$
(In the future please be aware that for content you did not create yourself, proper attribution is required. You need to include (at minimum) where it came from—and any additional context you can provide is often helpful to solvers. Posts which use someone else's content without attribution are generally deleted.)
$endgroup$
– Rubio♦
5 hours ago
add a comment |
2 Answers
2
active
oldest
votes
$begingroup$
This is, I'm sure, answered somewhere else. It is also related to Pascal's triangle.
Simply fill out the grid as follows:
In this grid, each number represents the number of ways of getting to that particular intersection. And that number is precisely the number of ways to get to the intersection below it added to the number of ways to get to the intersection to the left of it.
answered 8 hours ago
Dr XorileDr Xorile
12.8k22569
$endgroup$
add a comment |
$begingroup$
A more mathematically oriented answer:
You have $10$ moves to make in total and you need to choose which $4$ of them are going to be up.
The number of ways to do that is $${10choose 4}=210$$
answered 20 mins ago
Arnaud MortierArnaud Mortier
618211
$endgroup$
add a comment |
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2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
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oldest
votes
$begingroup$
This is, I'm sure, answered somewhere else. It is also related to Pascal's triangle.
Simply fill out the grid as follows:
In this grid, each number represents the number of ways of getting to that particular intersection. And that number is precisely the number of ways to get to the intersection below it added to the number of ways to get to the intersection to the left of it.
answered 8 hours ago
Dr XorileDr Xorile
12.8k22569
$endgroup$
add a comment |
$begingroup$
This is, I'm sure, answered somewhere else. It is also related to Pascal's triangle.
Simply fill out the grid as follows:
In this grid, each number represents the number of ways of getting to that particular intersection. And that number is precisely the number of ways to get to the intersection below it added to the number of ways to get to the intersection to the left of it.
answered 8 hours ago
Dr XorileDr Xorile
12.8k22569
$endgroup$
add a comment |
$begingroup$
This is, I'm sure, answered somewhere else. It is also related to Pascal's triangle.
Simply fill out the grid as follows:
In this grid, each number represents the number of ways of getting to that particular intersection. And that number is precisely the number of ways to get to the intersection below it added to the number of ways to get to the intersection to the left of it.
answered 8 hours ago
Dr XorileDr Xorile
12.8k22569
$endgroup$
This is, I'm sure, answered somewhere else. It is also related to Pascal's triangle.
Simply fill out the grid as follows:
In this grid, each number represents the number of ways of getting to that particular intersection. And that number is precisely the number of ways to get to the intersection below it added to the number of ways to get to the intersection to the left of it.
answered 8 hours ago
Dr XorileDr Xorile
12.8k22569
edited 5 hours ago
answered 8 hours ago
Dr XorileDr Xorile
12.8k22569
answered 8 hours ago
Dr XorileDr Xorile
12.8k22569
answered 8 hours ago
Dr XorileDr Xorile
12.8k22569
12.8k22569
add a comment |
add a comment |
$begingroup$
A more mathematically oriented answer:
You have $10$ moves to make in total and you need to choose which $4$ of them are going to be up.
The number of ways to do that is $${10choose 4}=210$$
answered 20 mins ago
Arnaud MortierArnaud Mortier
618211
$endgroup$
add a comment |
$begingroup$
A more mathematically oriented answer:
You have $10$ moves to make in total and you need to choose which $4$ of them are going to be up.
The number of ways to do that is $${10choose 4}=210$$
answered 20 mins ago
Arnaud MortierArnaud Mortier
618211
$endgroup$
add a comment |
$begingroup$
A more mathematically oriented answer:
You have $10$ moves to make in total and you need to choose which $4$ of them are going to be up.
The number of ways to do that is $${10choose 4}=210$$
answered 20 mins ago
Arnaud MortierArnaud Mortier
618211
$endgroup$
A more mathematically oriented answer:
You have $10$ moves to make in total and you need to choose which $4$ of them are going to be up.
The number of ways to do that is $${10choose 4}=210$$
answered 20 mins ago
Arnaud MortierArnaud Mortier
618211
answered 20 mins ago
Arnaud MortierArnaud Mortier
618211
answered 20 mins ago
Arnaud MortierArnaud Mortier
618211
answered 20 mins ago
Arnaud MortierArnaud Mortier
618211
618211
add a comment |
add a comment |
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$begingroup$
I think its from this site betterexplained.com/articles/…
$endgroup$
– Purple
8 hours ago
$begingroup$
(In the future please be aware that for content you did not create yourself, proper attribution is required. You need to include (at minimum) where it came from—and any additional context you can provide is often helpful to solvers. Posts which use someone else's content without attribution are generally deleted.)
$endgroup$
– Rubio♦
5 hours ago