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how-many-ways-can-you-arrange-15-distinct-balls-into-5-cups-if-there-has-to-be-at-least-1-ball-in-each-cup-




Question Number 115429 by Eric002 last updated on 25/Sep/20
how many ways can you arrange 15 distinct  balls into 5 cups if there has to be at least  1 ball in each cup?
$${how}\:{many}\:{ways}\:{can}\:{you}\:{arrange}\:\mathrm{15}\:{distinct} \\ $$$${balls}\:{into}\:\mathrm{5}\:{cups}\:{if}\:{there}\:{has}\:{to}\:{be}\:{at}\:{least} \\ $$$$\mathrm{1}\:{ball}\:{in}\:{each}\:{cup}? \\ $$$$ \\ $$
Commented by bemath last updated on 26/Sep/20
sir do you have app to compute   { _k ^n } ?
$${sir}\:{do}\:{you}\:{have}\:{app}\:{to}\:{compute}\: \\ $$$$\left\{\underset{{k}} {\overset{{n}} {\:}}\right\}\:? \\ $$
Commented by mr W last updated on 26/Sep/20
https://keisan.casio.com/exec/system/1292214829
Commented by mr W last updated on 26/Sep/20
Commented by bemath last updated on 26/Sep/20
thank you sir. why  my phone can′t  download it?
$${thank}\:{you}\:{sir}.\:{why}\:\:{my}\:{phone}\:{can}'{t} \\ $$$${download}\:{it}? \\ $$
Commented by mr W last updated on 26/Sep/20
{_5 ^(15) }=210766920  see Q105551
$$\left\{_{\mathrm{5}} ^{\mathrm{15}} \right\}=\mathrm{210766920} \\ $$$${see}\:{Q}\mathrm{105551} \\ $$
Commented by mr W last updated on 26/Sep/20
it′s not an App you can download. it  is an online calculator. you can use  it directly online.
$${it}'{s}\:{not}\:{an}\:{App}\:{you}\:{can}\:{download}.\:{it} \\ $$$${is}\:{an}\:{online}\:{calculator}.\:{you}\:{can}\:{use} \\ $$$${it}\:{directly}\:{online}. \\ $$
Commented by bemath last updated on 26/Sep/20
oo yes sir. thank you
$${oo}\:{yes}\:{sir}.\:{thank}\:{you} \\ $$
Commented by Eric002 last updated on 26/Sep/20
thank you sir
$${thank}\:{you}\:{sir} \\ $$
Commented by I want to learn more last updated on 27/Sep/20
....
$$…. \\ $$

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