Distributing In A Proper Way
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There are 16 apples.In how many ways can the apples be distributed among 4 people if none of then get less than 3.This is not a homework question.I tried and found that there are 1820 ways to arrange apples among four people.How to get the remaining part done?
combinatorics combinations
edited Nov 16 at 18:27
N. F. Taussig
42.8k93254
asked Nov 16 at 14:41
CreamPie
255
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show 7 more comments
up vote
1
down vote
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There are 16 apples.In how many ways can the apples be distributed among 4 people if none of then get less than 3.This is not a homework question.I tried and found that there are 1820 ways to arrange apples among four people.How to get the remaining part done?
combinatorics combinations
edited Nov 16 at 18:27
N. F. Taussig
42.8k93254
asked Nov 16 at 14:41
CreamPie
255
2
Hint. Give each person three apples. Then calculate how many ways there are to distribute the other four (which you seem to know how to do). Then you can post an answer to your own question here.
– Ethan Bolker
Nov 16 at 14:45
2
Where did $1820$ come from? Usual stars and bars gives $binom {16+4-1}{16}=969$, no?
– lulu
Nov 16 at 14:47
@EthanBolker I partially got the idea would you please answer the question.Its been tough two days for me can't solve this
– CreamPie
Nov 16 at 16:32
@lulu 16C4 is what I did
– CreamPie
Nov 16 at 16:33
2
You've been given a clear roadmap for a solution. The hint from @EthanBolker is close to a complete solution. All you have to do is to count the ways to distribute $4$ identical objects amongst $4$ different people. You can do that with Stars and Bars if you want, or you can just compute it by hand.
– lulu
Nov 16 at 16:48
|
show 7 more comments
up vote
1
down vote
favorite
up vote
1
down vote
favorite
There are 16 apples.In how many ways can the apples be distributed among 4 people if none of then get less than 3.This is not a homework question.I tried and found that there are 1820 ways to arrange apples among four people.How to get the remaining part done?
combinatorics combinations
edited Nov 16 at 18:27
N. F. Taussig
42.8k93254
asked Nov 16 at 14:41
CreamPie
255
There are 16 apples.In how many ways can the apples be distributed among 4 people if none of then get less than 3.This is not a homework question.I tried and found that there are 1820 ways to arrange apples among four people.How to get the remaining part done?
combinatorics combinations
combinatorics combinations
edited Nov 16 at 18:27
N. F. Taussig
42.8k93254
asked Nov 16 at 14:41
CreamPie
255
edited Nov 16 at 18:27
N. F. Taussig
42.8k93254
asked Nov 16 at 14:41
CreamPie
255
edited Nov 16 at 18:27
N. F. Taussig
42.8k93254
edited Nov 16 at 18:27
N. F. Taussig
42.8k93254
edited Nov 16 at 18:27
N. F. Taussig
42.8k93254
42.8k93254
asked Nov 16 at 14:41
CreamPie
255
asked Nov 16 at 14:41
CreamPie
255
asked Nov 16 at 14:41
CreamPie
255
255
2
Hint. Give each person three apples. Then calculate how many ways there are to distribute the other four (which you seem to know how to do). Then you can post an answer to your own question here.
– Ethan Bolker
Nov 16 at 14:45
2
Where did $1820$ come from? Usual stars and bars gives $binom {16+4-1}{16}=969$, no?
– lulu
Nov 16 at 14:47
@EthanBolker I partially got the idea would you please answer the question.Its been tough two days for me can't solve this
– CreamPie
Nov 16 at 16:32
@lulu 16C4 is what I did
– CreamPie
Nov 16 at 16:33
2
You've been given a clear roadmap for a solution. The hint from @EthanBolker is close to a complete solution. All you have to do is to count the ways to distribute $4$ identical objects amongst $4$ different people. You can do that with Stars and Bars if you want, or you can just compute it by hand.
– lulu
Nov 16 at 16:48
|
show 7 more comments
2
Hint. Give each person three apples. Then calculate how many ways there are to distribute the other four (which you seem to know how to do). Then you can post an answer to your own question here.
– Ethan Bolker
Nov 16 at 14:45
2
Where did $1820$ come from? Usual stars and bars gives $binom {16+4-1}{16}=969$, no?
– lulu
Nov 16 at 14:47
@EthanBolker I partially got the idea would you please answer the question.Its been tough two days for me can't solve this
– CreamPie
Nov 16 at 16:32
@lulu 16C4 is what I did
– CreamPie
Nov 16 at 16:33
2
You've been given a clear roadmap for a solution. The hint from @EthanBolker is close to a complete solution. All you have to do is to count the ways to distribute $4$ identical objects amongst $4$ different people. You can do that with Stars and Bars if you want, or you can just compute it by hand.
– lulu
Nov 16 at 16:48
2
2
Hint. Give each person three apples. Then calculate how many ways there are to distribute the other four (which you seem to know how to do). Then you can post an answer to your own question here.
– Ethan Bolker
Nov 16 at 14:45
Hint. Give each person three apples. Then calculate how many ways there are to distribute the other four (which you seem to know how to do). Then you can post an answer to your own question here.
– Ethan Bolker
Nov 16 at 14:45
2
2
Where did $1820$ come from? Usual stars and bars gives $binom {16+4-1}{16}=969$, no?
– lulu
Nov 16 at 14:47
Where did $1820$ come from? Usual stars and bars gives $binom {16+4-1}{16}=969$, no?
– lulu
Nov 16 at 14:47
@EthanBolker I partially got the idea would you please answer the question.Its been tough two days for me can't solve this
– CreamPie
Nov 16 at 16:32
@EthanBolker I partially got the idea would you please answer the question.Its been tough two days for me can't solve this
– CreamPie
Nov 16 at 16:32
@lulu 16C4 is what I did
– CreamPie
Nov 16 at 16:33
@lulu 16C4 is what I did
– CreamPie
Nov 16 at 16:33
2
2
You've been given a clear roadmap for a solution. The hint from @EthanBolker is close to a complete solution. All you have to do is to count the ways to distribute $4$ identical objects amongst $4$ different people. You can do that with Stars and Bars if you want, or you can just compute it by hand.
– lulu
Nov 16 at 16:48
You've been given a clear roadmap for a solution. The hint from @EthanBolker is close to a complete solution. All you have to do is to count the ways to distribute $4$ identical objects amongst $4$ different people. You can do that with Stars and Bars if you want, or you can just compute it by hand.
– lulu
Nov 16 at 16:48
|
show 7 more comments
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2
Hint. Give each person three apples. Then calculate how many ways there are to distribute the other four (which you seem to know how to do). Then you can post an answer to your own question here.
– Ethan Bolker
Nov 16 at 14:45
2
Where did $1820$ come from? Usual stars and bars gives $binom {16+4-1}{16}=969$, no?
– lulu
Nov 16 at 14:47
@EthanBolker I partially got the idea would you please answer the question.Its been tough two days for me can't solve this
– CreamPie
Nov 16 at 16:32
@lulu 16C4 is what I did
– CreamPie
Nov 16 at 16:33
2
You've been given a clear roadmap for a solution. The hint from @EthanBolker is close to a complete solution. All you have to do is to count the ways to distribute $4$ identical objects amongst $4$ different people. You can do that with Stars and Bars if you want, or you can just compute it by hand.
– lulu
Nov 16 at 16:48