Fool's (speed) problem of the day:

Can you do this under three minutes?

In how many ways can cards be distributed to $4$ bridge players $ A, B, C, D $ such that each one of them has either all $ 4 $ aces or all $ 4$ kings or all $4 $ queens or all $ 4 $ jacks?

HINT: Each player gets 13 cards.

[Solved by @apoorvk]

PS:An hour ago I just can't see that @apoorvk solution was correct, My apologies to all.

Question

Fool's (speed) problem of the day:

Can you do this under three minutes?

In how many ways can cards be distributed to $4$ bridge players $ A, B, C, D $ such that each one of them has either all $ 4 $ aces or all $ 4$ kings or all $4 $ queens or all $ 4 $ jacks?

HINT: Each player gets 13 cards.

[Solved by @apoorvk]

PS:An hour ago I  just can't see that @apoorvk solution was correct, My apologies to all.

apoorvk · Answer

Is it "4!" am i being too fast and too foolish?

apoorvk · Answer

yes i am. foolish

anonymous · Answer

Lol :P

anonymous · Answer

36! ?

anonymous · Answer

36! * 4! ?

apoorvk · Answer

is it (4! * 36C9 * 27C9 * 18C9)?

apoorvk · Answer

am i anywhere near what they call close?

apoorvk · Answer

2 mins up long time back :/

apoorvk · Answer

hmm. still trying still trying. will it be "P" instead of "C" or will the entire thing that i posted earlier, be multiplied by a 4!? I think the later

so I would say  (4! * 36C9 * 27C9 * 18C9 *4!)

anonymous · Answer

Do we care about the order in which they get their cards?

anonymous · Answer

I won't clarify any more since, this was the exact question I was given in the test.

anonymous · Answer

4! * 36! /13! so that the order of the cards not matter I guess

anonymous · Answer

lol

experimentx · Answer

wild guess in 5 min 4! * 36C9 * 4

experimentx · Answer

4! * (36C9 + 27C9 + 18C9 + 1)
another guess in 1 min

anonymous · Answer

lol

anonymous · Answer

can someone please explain what 36C9 stands for? I can't remember ever seeing that :-S

anonymous · Answer

$$ \binom {36} {9} $$

how old are you anyways? :P

anonymous · Answer

lol, I'm 28, but haven't used any of this in about 10 years

anonymous · Answer

Great, what were you doing ? :P

anonymous · Answer

I was not studying hard enough apparently :-P

anonymous · Answer

lol, then me too :P I barely study. I wish I can study more though.

experimentx · Answer

you got natural talent ... i guess.

experimentx · Answer

was it the answer ?? 4! * (36C9 * 27C9 * 18C9 * 1)

anonymous · Answer

Nopes.

anonymous · Answer

Are you sure you haven't made a mistake in your problem? I get the feeling that it should "hours" instead of "minutes".

experimentx · Answer

I think the same.

anonymous · Answer

Haha :P My teacher, "this is a medium grade problem and shouldn't take more than 3 mints to solve"

anonymous · Answer

I can't solve it in time :( and then he showed me how it's done. The result were enlightening though!

anonymous · Answer

I came to the conclusion that I just don't have it what he wants ...

experimentx · Answer

Man, you have been in trained in the way of mathematics ... esp with numbers.

anonymous · Answer

Your teacher sounds like a sadist.

experimentx · Answer

okay ... we will wait.

anonymous · Answer

me too ;)