Probability question (1 Viewer)

[ToO LaZy ^*]

all the letters of the word ENCUMBRANCE are arranged in a line. Find the total number of arrangements, which contain all the vowels in alphabetical order but separated by at least one constant.
(JRAH 03 trial)

 

[ngai]

this again...
hmm let me think wat i said last time...
ohh, i remember now:
88200 ways (by inspection)

 

[gordo]

wats inspection??

 

[Xayma]

Where you run over things in your head until you get the answer.
Also where they cant be bothered to post the working cause they did it on a calculator only

 

[ToO LaZy ^*]

hm..??
SO..can i see any working around here?.!..

 

[Rorix]

why bother you already know the answer

 

[superbird]

all the letters of the word ENCUMBRANCE are arranged in a line. Find the total number of arrangements, which contain all the vowels in alphabetical order but separated by at least one constant.
(JRAH 03 trial)

i think the answer is:
11!/2!2!

 

[Managore]

Uhh just looking at the question now.. I think:

Replace the vowels with say X, their order is already determined so they don't have to confuse us.
Find out combos with Y(constanant)
eg YXYYXYXYYXY
( )xY( )xY( )xY( )x( ) the brackets can be filled with any number of Y's, having 4 left. = 5^4 I think... but that's wrong
Next, we have the order of Ys, or constanants.
7!/(2!x2!)
And that should give us an answer... but alas.. I've done something wrong. Help?

 

[mojako]

do a search on this forum
theres this exact question before...

 

[ToO LaZy ^*]

nope..couldn't find it..

 

[withoutaface]

http://www.boredofstudies.org/community/showthread.php?t=16711
http://www.boredofstudies.org/community/showthread.php?t=12398
http://www.boredofstudies.org/community/showthread.php?t=41677

 

[mojako]

nope..couldn't find it..

well I did a very quick inspection and found it:
http://www.boredofstudies.org/community/showthread.php?t=41677

(ignore those inspection stuff.. they're just having fun!)

 

[mojako]

grr I was too late!!

 

[ToO LaZy ^*]

bunch of smartarses..!

yeah, well, i couldn't find it coz i typed in 'JRAH 03 trial' and my thread only came up -_-"

 

[Archman]

i love inspection.