Question

there are currently 27 OpenStudy users who are level 99. Five of them are purple. How many ways can they be arranged such that the purples stay in the middle (any order in the middle)?

Answer 1

lol

Answer 2

it's from my book dont judge ;p

Answer 3

Middle?

Answer 4

@lgbasallote , go to sleep.

Answer 5

yeah...middle

Answer 6

lol it's quarter to six here...and i fear i shall be missed :p

Answer 7

I believe that the answer would be 5! if you want to keep them in the middle

Answer 8

What do you mean middle?

Answer 9

what about the 27 people? o.O

Answer 10

i mean they change positions right?

Answer 11

If you want to arrange the 5 guys then it'd be 5!

Answer 12

nooo the 27 greens will be rearranged

Answer 13

And and then 22! too I think

Answer 14

but the purples have to stay in the middle in any order

Answer 15

5! x 22!

Answer 16

it will be just 22!?

Answer 17

Can you define "middle"? like:

Middle = all the purple people together, purple people cant be the first or last one.

Answer 18

why timeS?

Answer 19

We don't add, because there's like 5 factorial combinations for all 22! combinations we can arrange.

Answer 20

hmm for example

green purple green purple ->>>>green

that's a possible scenario

another could be

green purple purple purple green purple ->>>green

important thing is the greens stay outside

Answer 21

so it will be 5! x 22! ?

Answer 22

Yes, I believe.

Answer 23

but why not just 22! ?

Answer 24

Not sure though. Need to ask the geniuses.

Answer 25

Because there are 5! ways to arrange the purples :D

Answer 26

lol sounds familiar :P

Answer 27

"ask the geniuses' haha

Answer 28

max number of ways every one can be arranged - number of ways where green stay at the end.. i guess if i understood the question right

Answer 29

hmm different formulas...

Answer 30

this is an even number in my book so no answer =_=

Answer 31

satellite73
\(\color{Purple}{FoolForMath}\)
lgbasallote
dpainc
ParthKohli
jimmyrep
lalaly
\(\color{Purple}{JamesJ}\)
Mertsj
\(\color{Purple}{amistre64}\)
LagrangeSon78
saifoo.khan
directrix
dumbcow
\(\color{Purple}{Zarkon}\)
\(\color{Purple}{myininaya}\)
\(\color{Purple}{TuringTest}\)
Hero
imranmeah91
ishaan94
jim_thompson5910
ash2326
hoblos
experimentX
Callisto
.Sam.
jhonny9

Answer 32

LOL

Answer 33

I see 6 purples, and twenty-six 99 levellers.

Answer 34

that means you're over 1 mod and lack 2 greens

Answer 35

And if you don't include sat, it's 25.

Answer 36

Show me your list, my sir

Answer 37

so you lack 3

Answer 38

lol just answer the question :p

Answer 39

Actually, have you included aroub in the list? Because she ain't 99 any more

Answer 40

the data is outdated..

Answer 41

I've done whatever I could do.. 5! x 22!

Answer 42

this was based on a 2001 census

Answer 43

Then no one wouldve been included ;p

Answer 44

so 5! x 22! hmm

Answer 45

Not sure tho

Answer 46

I'm sure you missed JamesJ in your list

Answer 47

http://openstudy.com/users/jimmyrep

Answer 48

no i missed FoolForMath i forgot him =)) like i said it was outdated...before ffm became mod

Answer 49

Oh I included jimmy but couldn't save the file

Answer 50

25= 5P+20G
so this is what "middle" meant to me.. idk what the ques meant..
25!/(20!x5!)
=53 130 ?