In how many different ways can you invest 20,000 onto five funds in increments of 1,000?

The name of the pictureThe name of the pictureThe name of the pictureClash Royale CLAN TAG#URR8PPP











up vote
1
down vote

favorite













In how many different ways can you invest 20,000 onto five funds in increments of 1,000?



(Question 4.24 from Timothy Falcon Crack)




The answer says it is $5^20$, but I thought of this as a "stars and bars" type of problem and said it was $binom244$.



Where am I going wrong?







share|cite|improve this question


















  • 1




    Your first thousand can be invested in 1 of 5 funds. Your second thousand also have 1 of 5 possibilities....
    – Jacky Chong
    Aug 24 at 4:13














up vote
1
down vote

favorite













In how many different ways can you invest 20,000 onto five funds in increments of 1,000?



(Question 4.24 from Timothy Falcon Crack)




The answer says it is $5^20$, but I thought of this as a "stars and bars" type of problem and said it was $binom244$.



Where am I going wrong?







share|cite|improve this question


















  • 1




    Your first thousand can be invested in 1 of 5 funds. Your second thousand also have 1 of 5 possibilities....
    – Jacky Chong
    Aug 24 at 4:13












up vote
1
down vote

favorite









up vote
1
down vote

favorite












In how many different ways can you invest 20,000 onto five funds in increments of 1,000?



(Question 4.24 from Timothy Falcon Crack)




The answer says it is $5^20$, but I thought of this as a "stars and bars" type of problem and said it was $binom244$.



Where am I going wrong?







share|cite|improve this question















In how many different ways can you invest 20,000 onto five funds in increments of 1,000?



(Question 4.24 from Timothy Falcon Crack)




The answer says it is $5^20$, but I thought of this as a "stars and bars" type of problem and said it was $binom244$.



Where am I going wrong?









share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Aug 24 at 4:30









Jendrik Stelzner

7,57221037




7,57221037










asked Aug 24 at 4:09









jl_

82




82







  • 1




    Your first thousand can be invested in 1 of 5 funds. Your second thousand also have 1 of 5 possibilities....
    – Jacky Chong
    Aug 24 at 4:13












  • 1




    Your first thousand can be invested in 1 of 5 funds. Your second thousand also have 1 of 5 possibilities....
    – Jacky Chong
    Aug 24 at 4:13







1




1




Your first thousand can be invested in 1 of 5 funds. Your second thousand also have 1 of 5 possibilities....
– Jacky Chong
Aug 24 at 4:13




Your first thousand can be invested in 1 of 5 funds. Your second thousand also have 1 of 5 possibilities....
– Jacky Chong
Aug 24 at 4:13










1 Answer
1






active

oldest

votes

















up vote
3
down vote



accepted










You are thinking that each $1000$ is identical, so all that matters is how much money you put into each fund. If they are, your answer is correct. $5^20$ would be correct if the $1000$s were distinct. If you invested $1000$ per month for $20$ months it matters which $1000$ goes into which fund. They are different problems with different answers. Check the wording of the problem for whether the $1000$s are identical or distinct.






share|cite|improve this answer




















  • Thanks! That cleared it up. Not sure why the book didn't go into detail
    – jl_
    Aug 25 at 2:32










Your Answer




StackExchange.ifUsing("editor", function ()
return StackExchange.using("mathjaxEditing", function ()
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix)
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
);
);
, "mathjax-editing");

StackExchange.ready(function()
var channelOptions =
tags: "".split(" "),
id: "69"
;
initTagRenderer("".split(" "), "".split(" "), channelOptions);

StackExchange.using("externalEditor", function()
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled)
StackExchange.using("snippets", function()
createEditor();
);

else
createEditor();

);

function createEditor()
StackExchange.prepareEditor(
heartbeatType: 'answer',
convertImagesToLinks: true,
noModals: false,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
);



);













 

draft saved


draft discarded


















StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2892770%2fin-how-many-different-ways-can-you-invest-20-000-onto-five-funds-in-increments-o%23new-answer', 'question_page');

);

Post as a guest






























1 Answer
1






active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes








up vote
3
down vote



accepted










You are thinking that each $1000$ is identical, so all that matters is how much money you put into each fund. If they are, your answer is correct. $5^20$ would be correct if the $1000$s were distinct. If you invested $1000$ per month for $20$ months it matters which $1000$ goes into which fund. They are different problems with different answers. Check the wording of the problem for whether the $1000$s are identical or distinct.






share|cite|improve this answer




















  • Thanks! That cleared it up. Not sure why the book didn't go into detail
    – jl_
    Aug 25 at 2:32














up vote
3
down vote



accepted










You are thinking that each $1000$ is identical, so all that matters is how much money you put into each fund. If they are, your answer is correct. $5^20$ would be correct if the $1000$s were distinct. If you invested $1000$ per month for $20$ months it matters which $1000$ goes into which fund. They are different problems with different answers. Check the wording of the problem for whether the $1000$s are identical or distinct.






share|cite|improve this answer




















  • Thanks! That cleared it up. Not sure why the book didn't go into detail
    – jl_
    Aug 25 at 2:32












up vote
3
down vote



accepted







up vote
3
down vote



accepted






You are thinking that each $1000$ is identical, so all that matters is how much money you put into each fund. If they are, your answer is correct. $5^20$ would be correct if the $1000$s were distinct. If you invested $1000$ per month for $20$ months it matters which $1000$ goes into which fund. They are different problems with different answers. Check the wording of the problem for whether the $1000$s are identical or distinct.






share|cite|improve this answer












You are thinking that each $1000$ is identical, so all that matters is how much money you put into each fund. If they are, your answer is correct. $5^20$ would be correct if the $1000$s were distinct. If you invested $1000$ per month for $20$ months it matters which $1000$ goes into which fund. They are different problems with different answers. Check the wording of the problem for whether the $1000$s are identical or distinct.







share|cite|improve this answer












share|cite|improve this answer



share|cite|improve this answer










answered Aug 24 at 4:20









Ross Millikan

279k22188355




279k22188355











  • Thanks! That cleared it up. Not sure why the book didn't go into detail
    – jl_
    Aug 25 at 2:32
















  • Thanks! That cleared it up. Not sure why the book didn't go into detail
    – jl_
    Aug 25 at 2:32















Thanks! That cleared it up. Not sure why the book didn't go into detail
– jl_
Aug 25 at 2:32




Thanks! That cleared it up. Not sure why the book didn't go into detail
– jl_
Aug 25 at 2:32

















 

draft saved


draft discarded















































 


draft saved


draft discarded














StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2892770%2fin-how-many-different-ways-can-you-invest-20-000-onto-five-funds-in-increments-o%23new-answer', 'question_page');

);

Post as a guest













































































這個網誌中的熱門文章

How to combine Bézier curves to a surface?

Mutual Information Always Non-negative

Why am i infinitely getting the same tweet with the Twitter Search API?