Identical and different object distribution among children

Identical and different object distribution among children

In how many ways can we distribute 12 identical apples and 7 distinguishable cookies among 5 children.. My answer is binom125-112 cdot 57 Is it correct Explanation: Since there is no restriction to distribute the apples, I lined up the 12 apples and split them into 5 groups using the stars method and for the second one, It is only like assigning a cookie to each child. What if it says, 7 distinguishable cookies among 5 children so that everyone gets at least one My answer is: binom75 5 52 We give the kids 5 cookies and they can be arranged in 5 ways, then we normally distribute the remaining cookies. Am I missing anything Are there any notes or something you would like to add up or advice

Your solution of first question is perfectly correct. You didnt miss anything. For the second question: Let A_i be the set of all distributions in which i-th children dont get a cookie. Then A_i 47 for each i. A_icap A_j37 for each ine j A_icap A_jcap A_k27 for each ine jne kne i A_icap A_jcap A_kcap A_l1 for all pairvise different i,j,k,l Now we are interested in Big bigcap_i1n overline A_iBig Big; overlinebigcup_i1n A_i;Big 57-Big; bigcup_i1n A_i;Big We have by PIE: begineqnarray Big; bigcup_i1n A_i;Big sum_i1n Big; A_i Big - sum_i1n Big;A_icap A_j Big... 5cdot 47-10cdot 3710cdot 27-50 endeqnarray So the finaly answer is 57-5cdot 4710cdot 37-5cdot 271.

Комментарии

Отправить комментарий

Популярные сообщения из этого блога

Как преобразовать вертикальную запись в горизонтальную?

Имеется файл iplir.conf (конфиг VipNet) например такой : > #commentary [id] id= 0x1a0e000d name= координатор2 filterdefault= pass ip= 192.0.2.9 ip= 192.0.2.10 tunnel= 192.0.2.201-192.0.2.202 to 192.0.2.201-192.0.2.202 firewallip= 192.0.2.11 port= 55777 proxyid= 0x00000000 usefirewall= off fixfirewall= off virtualip= 203.0.113.1 version= 3.0-670 #commentary [id] id= 0xffffffff name= Encrypted broadcasts filterdefault= drop filterudp= 137, 137, pass, any filterudp= 138, 138, pass, any filterudp= 68, 67, pass, any filterudp= 67, 68, pass, any filterudp= 2046, 0-65535, pass, recv filterudp= 2046, 2046, pass, send filterudp= 2048, 0-65535, pass, recv filterudp= 2050, 0-65535, pass, recv filterudp= 2050, 2050, pass, send [id] id= 0xfffffffe name= Main Filter filterdefault= pass [id] id= 0x1a0e000b name= administrator filterdefault= pass ip= 192.0.2.55 accessip= 203.0.113.2 firewallip= 192.0.2.6 port= 55777 proxyid= 0xfffffffe dynamic_timeout=...
Далее...

Skipping acquire of configured file 'contrib/binary-i386/Packages' as repository … doesn't support architecture 'i386'

Skipping acquire of configured file 'contrib/binary-i386/Packages' as repository … doesn't support architecture 'i386' I installed Ubuntu 18.04 and then while installing Virtualbox i get the i386 error message after I did: sudo apt-get update Get:1 http:nl.archive.ubuntu.comubuntu bionic InRelease 242 kB Hit:2 http:security.ubuntu.comubuntu bionic-security InRelease Hit:3 http:ppa.launchpad.netdanielrichter2007grub-customizerubuntu bionic InRelease Hit:4 http:nl.archive.ubuntu.comubuntu bionic-updates InRelease Hit:5 http:nl.archive.ubuntu.comubuntu bionic-backports InRelease Get:6 http:download.virtualbox.orgvirtualboxdebian bionic InRelease 4429 B Get:7 http:download.virtualbox.orgvirtualboxdebian bioniccontrib amd64 Packages 1426 B Fetched 248 kB in 1s 209 kBs Reading package lists... Done N: Skipping acquire of configured file contribbinary-i386Packages as repository http:download.virtualbox.orgvirtualboxdebian bionic InRelease doesnt support architecture i386 ...
Далее...

How to delete a folder in remote Windows from Linux

I am running automation tests on both local (Linux) and remote Selenium node (Windows). And I want to delete a folder created during test, using Java Runtime.getRuntime().exec. It works fine on local (Linux), but I have a hard time to figure out how to do it on Windows node. The following is my attempts: try {     if (rBundle.getString("RUN_ON").equalsIgnoreCase("local")) // delete folder temp on local (Linux) - it works         Runtime.getRuntime().exec("rm -rf " + System.getProperty("user.home") + "/Temp");     else // delete folder C:/Temp on remote Windows         Runtime.getRuntime().exec("rm -rf IEUser@10.2.2.240/C/Temp");         // Runtime.getRuntime().exec("rm -rf //10.2.2.240/C/Temp"); } catch (IOException e) {     e.printStackTrace(); } I try to delete folder C:/Temp on the remote Windows, but I don't have any success. I don't get any Exceptions, it went though that block. Obv...
Далее...