Using the addition principle of combinatorics, find the number of non-negative integer solutions to $2x + 3y leq 7$
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Using the addition principle of combinatorics, find the number of non-negative integer solutions to $2x + 3y leq 7$. This problem is found in the book How to Count by Beeler which contains no solutions, so I have no way of verifying the correct solution.
combinatorics
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Using the addition principle of combinatorics, find the number of non-negative integer solutions to $2x + 3y leq 7$. This problem is found in the book How to Count by Beeler which contains no solutions, so I have no way of verifying the correct solution.
combinatorics
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â pointguard0
Aug 22 at 6:32
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up vote
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up vote
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down vote
favorite
Using the addition principle of combinatorics, find the number of non-negative integer solutions to $2x + 3y leq 7$. This problem is found in the book How to Count by Beeler which contains no solutions, so I have no way of verifying the correct solution.
combinatorics
Using the addition principle of combinatorics, find the number of non-negative integer solutions to $2x + 3y leq 7$. This problem is found in the book How to Count by Beeler which contains no solutions, so I have no way of verifying the correct solution.
combinatorics
edited Aug 22 at 6:41
asked Aug 22 at 6:22
Frank Aiello
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â pointguard0
Aug 22 at 6:32
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show us your try
â pointguard0
Aug 22 at 6:32
show us your try
â pointguard0
Aug 22 at 6:32
show us your try
â pointguard0
Aug 22 at 6:32
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1 Answer
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Hint: Add the number of integer solutions of the equation $2x+3y=n$ for $n=1,2,ldots,7.$
We want the number of nonnegative integer solutions, so $n$ can be equal to $0$ as well.
â N. F. Taussig
Aug 22 at 7:20
yes, if $0$ is an integer
â Leox
Aug 22 at 7:25
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
3
down vote
accepted
Hint: Add the number of integer solutions of the equation $2x+3y=n$ for $n=1,2,ldots,7.$
We want the number of nonnegative integer solutions, so $n$ can be equal to $0$ as well.
â N. F. Taussig
Aug 22 at 7:20
yes, if $0$ is an integer
â Leox
Aug 22 at 7:25
add a comment |Â
up vote
3
down vote
accepted
Hint: Add the number of integer solutions of the equation $2x+3y=n$ for $n=1,2,ldots,7.$
We want the number of nonnegative integer solutions, so $n$ can be equal to $0$ as well.
â N. F. Taussig
Aug 22 at 7:20
yes, if $0$ is an integer
â Leox
Aug 22 at 7:25
add a comment |Â
up vote
3
down vote
accepted
up vote
3
down vote
accepted
Hint: Add the number of integer solutions of the equation $2x+3y=n$ for $n=1,2,ldots,7.$
Hint: Add the number of integer solutions of the equation $2x+3y=n$ for $n=1,2,ldots,7.$
answered Aug 22 at 6:54
Leox
5,1141323
5,1141323
We want the number of nonnegative integer solutions, so $n$ can be equal to $0$ as well.
â N. F. Taussig
Aug 22 at 7:20
yes, if $0$ is an integer
â Leox
Aug 22 at 7:25
add a comment |Â
We want the number of nonnegative integer solutions, so $n$ can be equal to $0$ as well.
â N. F. Taussig
Aug 22 at 7:20
yes, if $0$ is an integer
â Leox
Aug 22 at 7:25
We want the number of nonnegative integer solutions, so $n$ can be equal to $0$ as well.
â N. F. Taussig
Aug 22 at 7:20
We want the number of nonnegative integer solutions, so $n$ can be equal to $0$ as well.
â N. F. Taussig
Aug 22 at 7:20
yes, if $0$ is an integer
â Leox
Aug 22 at 7:25
yes, if $0$ is an integer
â Leox
Aug 22 at 7:25
add a comment |Â
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â pointguard0
Aug 22 at 6:32