how many different letter arrangements can me made from Mississippi?

Question

how many different letter arrangements can me made from Mississippi

this is a homework math problem ... help if u can.

Answer 1

I have a master's degree in mathematics.

You are doing all possible combinations from 11 places that occupy the word, but you have only 4 different letters to fill out, the M does not repeat, the I(4 times), S(4 times), and P(2 times) are repeating, so is 11! divided by 4!4!2!
(because the M is not repeating is no necessary to write 1!)

11!/4!4!2!=34650

M=1!
I=4!
S=4!
P=2!

Answer 2

This is a bit tougher than some people seem to notice...

Yes, there are 11 letters in Mississippi.. but if I rearrange it to be Mississippi.. what? you don't notice the two S's I swapped around? ...

There are 4 I's, 1 M, 2 P's, and 4 S's...

Let's look at the M first.. No matter where you put it into the letter arrangement it will make a new arrangement because there is only 1 of it...

but if you swap two I's, P's, or S's around.. then it is not a new arrangement...

If you START with 11! (or 11*10*9*8*7*6*5*4*3*2*1) and then subtract all of those that would not result in a new combination (not an easy task) then you will get the correct answer...

If you look at it like.. iiiiMppssss then you can see it easier..
for the first letter of the arrangement, you have the choice of only 4 different letters, for the second letter you MIGHT have a choice of 4 letters (unless M was picked for the first letter) or you might have only 3 available letters.. for the third letter you might have the choice of 4 letters (unless M was chosen, or unless the two P's were chosen for the first two letters), or 3 letters...

By the time you get down to the 4th letter your choice can be anything from 4 letters down to only 2 letters (if you have used up the M and the P's in the first 3 letters then you only have I's and S's to choose from)...

Take a look at things like 1!, 2!, 4! to take out some of your combinations that are not valid.

Answer 3

I don't know if this is what you are looking for, but this was one of my questions on my Statistics homework.

Determine the number of permutations of the letters of the word MISSISSIPPI
Number of ways = 11!(there are 11 letters in the word)/(1!)M(4!)I(4!)S(2!)P
(11)(10)(9)(8)(7)(6)(5)(4)(3)(2)(1)/(1)(4)(3)(2)(1)(4)(3)(2)(1)(2)(1) =
39,916,800/1,152 =
Number of ways = 34,650
There are 34,650 permutations of letters in the word MISSISSIPPI.

Answer 4

I tutor a student in Algebra II, and we did permutations a couple of months ago. Kat20mill is right. It's 34,650.

Answer 5

32. trust me

Answer 6

10/(10x9x8x7x6x5x4x3x2x1)=
3628800
and that is your answer

Answer 7

9,999 MISP is all you can use