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#1 2012-10-29 19:51:18

Harold
Guest

Multifactorial

How do you define multifactorial?I know what it is,but how do you define it?I know how to define factorial.

#2 2012-10-29 20:12:14

anonimnystefy
Real Member

Online

Re: Multifactorial


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón

#3 2012-10-29 22:00:35

Harold
Guest

Re: Multifactorial

Can't this be another definition-

#4 2012-10-29 23:26:57

bobbym
Administrator

Offline

Re: Multifactorial

Hi Harold;

Did you try one? Say for k = 3.


In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.

#5 2012-10-29 23:48:16

Harold
Guest

Re: Multifactorial

Well,if I try n=11,k=3,then11!!!=11*8*5*2(as 11 mod 3=2) =880,is it correct?

#6 2012-10-30 00:09:14

bobbym
Administrator

Offline

Re: Multifactorial

Hi;

That is correct. Now what do you get for 20!!!! ?


In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.

#7 2012-10-30 00:47:18

Harold
Guest

Re: Multifactorial

Well,thank you,I love solving problems,now,20!!!!,so n=20 and k=4
20!!!!=20(20-4)(20-4*2)(20-4*3)...(4) [as 20 mod 4=0]=20*16*12*8*4=122880.

#8 2012-10-30 00:57:27

bobbym
Administrator

Offline

Re: Multifactorial

Hi;

That is correct. Your formula looks fine to me. Although there is a better one on that page that anonimnystefy sent you.


In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.

#9 2012-10-30 01:40:30

Harold
Guest

Re: Multifactorial

But,I am confused,if I do 11!!! by the method in wikipedia,I get 11!!!=11(8!!!)=11(8(5!!!))=11(8(5(2!!!)))=11(8(5(1))) [as 0<2<3] =440
and by my method,I get 11!!!=11(11-3)(11-2*3)...(2)=11*8*5*2=880
which is correct ??

#10 2012-10-30 01:44:34

bobbym
Administrator

Offline

Re: Multifactorial

2!!! = 2 not 1.


In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.

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