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# In how many ways can 12 children be placed on 3 distinct teams of 3, 5, and 4 members?

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In how many ways can 12 children be placed on 3 distinct teams of 3, 5, and 4 members?

Apr 20, 2015

#11
+95369
+5

Are you saying Nauseataed that you will give Titanium a muzzle but that you do not want it back for fear that it may carry some infection?

That is actually quite generous of you - a gold star for good sharing

However, Titanium may catch your 'germ', you know that you are a carrier for CDD.

Yes, I know, you think Titanium already has that so no harm will be done  BUT you are wrong.

CDD is like the flu, there are many strains of it.

Mmm,  If I soak one of your older muzzles (I know you would not want to part with a new one) in a strong solution of Sodium Hydroxide, do you think that would prevent cross contanimation?

Apr 21, 2015

#1
+3088
0

its gotta be 3 different ways

Apr 20, 2015
#2
+3088
0

3,5,4

4,3,5

5,4,3

Apr 20, 2015
#3
+17747
+5

Let's try it this way:

You have 12 children to fill the first group of 3 people -- this is a combinations problem of choosing a group of 3 from a group of 12:  12C3  =  220.

We now have only 9 children left to fill the second group of 5 persons -- this is a combinations problem of choosing a group of 5 from a group of 9:  9C5  =  126.

There are 4 children left for the group of 4 -- this can be done in only 1 way.

Combining these answers:  220 x 126 x 1  =  27,720.

Apr 21, 2015
#4
+1036
+5

$$\Text {Solution in (Non-Titanium) Roman Numerals}\\\\ \underbrace{\binom {12}{3}}_{\textrm{CCXX}} \ \cdot \; \underbrace{\binom {9}{4}}_{\textrm{CXXVI}} \ \cdot \; \underbrace{\binom {5}{5}}_{\textrm{I}} \; = \; \overline{XXV}MMDCCXX$$

.
Apr 21, 2015
#5
+3088
0

nauseated, you are a high disgrace to us. therefore, you shall be punished for your crimes.

Apr 21, 2015
#6
+95369
+5

I haven't looked at the question either:((

It is a pity that there are just SO many questions.

It is really hard to find the time to really digest some of the great questions and answers that are given :)

Apr 21, 2015
#7
+1036
+5

You will have to read it, of course, but you shouldn’t need to think too hard, this one is very easy -- even Geno got it right.

Titanium brain muffed it, but expectations weren’t very high. In fact, I am impressed he can logon and make a post.

It's a good thing the solution didn’t need an explicit zero, else CPhill would need to loan me Sisyphus’ bolder

Apr 21, 2015
#8
+3088
0

well, nauseated, ill chop your head off with the ultimate fire katana! *slice

Apr 21, 2015
#9
+95369
+5

Don't do that Titanium ,  I like having Nauseated around.

I am not the only one that appreciates Nauseated either.

Perhaps you will just have to learn to live with other.

Nauseated is kept on a leash and he is muzzled a lot of the time.  I have a spare muzzle for you too.

Nauseated doenst mind sharing.

Do you Nauseated?

Apr 21, 2015
#10
+1036
+5

No I don’t mind. But if you use the muzzle on Titanium, make sure you use germ-k****r spray afterward -- maybe some bug spray, too.

Though, the worst thing is the quantum effect of spooky dumbness at a distance; germ spray is ineffective for this.

Apr 21, 2015
#11
+95369
+5

Are you saying Nauseataed that you will give Titanium a muzzle but that you do not want it back for fear that it may carry some infection?

That is actually quite generous of you - a gold star for good sharing

However, Titanium may catch your 'germ', you know that you are a carrier for CDD.

Yes, I know, you think Titanium already has that so no harm will be done  BUT you are wrong.

CDD is like the flu, there are many strains of it.

Mmm,  If I soak one of your older muzzles (I know you would not want to part with a new one) in a strong solution of Sodium Hydroxide, do you think that would prevent cross contanimation?

Melody Apr 21, 2015
#12
+1036
0

Sodium hydroxide should be ok. It should k**l everything except CDD and quantum dumbness.

However, fluoroantimonic acid may be better. This will burn the muzzle and the wash bucket, then through the concrete floor, along with a meter or two of the sand below.

It still won’t destroy CDD or quantum dumbness, but it will effectively cure the person who has it by liquefying him. Titanium armor will only delay the inevitable.

Want to test your metal, Titanium?

Apr 21, 2015
#13
+3088
0

actually, you forgot that im titanium. im bulletproof, infection proof, and any harm proof. im just not fireproof or drownproof or any natural proofs. but im anything manmade proof (except nuke bombs), so i cant get your stupid flu. XD

Apr 21, 2015
#14
+3088
0

Bring in the infections!

I'm more than willing to fight infection with my katana, AK-47, revolver, gernades, pistols, unlimited ammunition, wizard spells thanks to Harry Potter, and my titanium armor.

Challenge Accepted!

No virus will stop me, for I cannot fall!

Apr 21, 2015
#15
+95369
0

Nauseated, I want to sterilize the muzzle - not disolve it.

Disolving it would rather defeat the whole purpose!

Apr 22, 2015
#16
+95369
0

Yes you are right Nauseated.

This is easy and it does make total sense to me.  Thank you :)

I've been a bit overwelmed with the sheer quantity of questions lately.

Apr 22, 2015
#17
-59
0

get wrecked, Nauseated. I am Christopher Robles aka Chris the Conqueror, and I have came here to arrest you and sent you to Neu Alcatraz. You will be sentenced there for 5 continuous years, and if attempt to escape, will result in a immediate execution, 0 tolerance here.

alright, Titanium, 1 capture. I'll held him or her as hostage for now

May 9, 2015