
#1
Jun207, 11:25 AM

P: 5

1. The problem statement, all variables and given/known data
How many letter combinations with 9 letters are you able to make with following letters : MATEMATIK? 2. Relevant equations Well its pretty obvious you need to use Combinations. Please explain how you solve this problem, don't write use combinations . I need to know how you think and from which angle you "attack" the problem. 



#2
Jun207, 04:31 PM

Sci Advisor
HW Helper
Thanks
P: 25,178

You have 9 letter positions to fill. First lets place the M's. There are two of them, so I have C(9,2) ways. Now lets do the A's. There 2 of them and 7 places left to fill, so I have C(7,2) ways. So far I've got C(9,2)*C(7,2). Can you finish?




#3
Jun307, 03:34 AM

P: 5

So iit´s C(9,2)*C(7,2)*C(5,2)*3*2*1?
In my math book the answer is C(9,2)*C(7,2)*5!..... which i find a little strange. 



#4
Jun307, 04:04 AM

PF Gold
P: 1,132

Combinations! How many......... 



#5
Jun307, 04:07 AM

Emeritus
Sci Advisor
PF Gold
P: 16,101

Incidentally, it seemed most clear to me to write the answer as 9! / (2! * 2! * 2!),or, as a multinomial coefficient, [tex]\binom{9}{2 \ 2 \ 2 \ 1 \ 1 \ 1} .[/tex] 



#6
Jun307, 08:47 AM

Sci Advisor
HW Helper
Thanks
P: 25,178




Register to reply 
Related Discussions  
combinations ice cream math  Calculus & Beyond Homework  6  
How Many Different Combinations?  Precalculus Mathematics Homework  11  
Sum of Combinations  Set Theory, Logic, Probability, Statistics  12  
four tires to mount on a car these can be mounted  Set Theory, Logic, Probability, Statistics  3  
Combinations  Introductory Physics Homework  4 