| Author |
Message |
![[Post New]](/templates/default/images/icon_minipost_new.gif) 4 Jan 2007 18:00:27 IST
|
|
|
find the no. of ways of arranging the letters of the word GARDEN so that the vowels are arranged in alphabetical order. plzz... reply soon
|
|
|
|
4 Jan 2007 18:17:04 IST
|
|
|
2!*4!=48
|
this reply: 0 points
(with 0 
in 0 votes ) [?]
|
|
You have to be logged on to rate
|
|
|
4 Jan 2007 18:53:21 IST
|
|
|
G A R D E N since the vowels are in alphabetical order E should always follow A STARTING FROM LEFT
A AT 1ST POSITION E CAN BE PLACED AT REMAINING 5 PLACES =5C1*4!
A AT 2ND POSITION E CAN BE PLACED AT REMAINING 4 PLACES =4C1*4! A AT 3RD POSITION E CAN BE PLACED AT REMAINING 3 PLACES =3C1*4!
A AT 4TH POSITION E CAN BE PLACED AT REMAINING 2 PLACES =2C1*4! A AT 5TH POSITION E CAN BE PLACED AT REMAINING 1 PLACES =1C1*4! A AT 6TH POSITION E CANNOT BE PLACED AT REMAINING PLACES OTHERWISE E WOULD COME BEFORE A
THEREFORE TOTAL NUMBER OF WAYS= 4!*(5C1+4C1+3C1+2C1+1C1)=360 WAYS
|
The yardstick of human intelligence is the ability to overcome the last fallacy |
this reply: 10 points
(with 2
in 2 votes ) [?]
|
|
You have to be logged on to rate
|
|
|
4 Jan 2007 19:55:33 IST
|
|
|
Total number of ways in which letters of word GARDEN can be arranged in 6! ways. In these half will have letter A before letter E. Therefore required answer is 6!/2=360
|
this reply: 5 points
(with 1
in 1 votes ) [?]
|
|
You have to be logged on to rate
|
|
|
4 Jan 2007 21:10:49 IST
|
|
|
see just refer to dis solution The Ans is 360 wat u have to do in such kind of ques -------- take d vowels ( in this case A & E ) as alike n then use d formula alike bcoz d vowels can be arranged but not bw themselves so d ans comes 6! / 2! = 720 / 2 = 360
|
VAIBHAV BEST
< THE GAME IS ON > |
this reply: 5 points
(with 1
in 1 votes ) [?]
|
|
You have to be logged on to rate
|
|
|
4 Jan 2007 21:21:17 IST
|
|
|
see just refer to dis solution The Ans is 360 wat u have to do in such kind of ques -------- take d vowels ( in this case A & E ) as alike n then use d formula alike bcoz d vowels can be arranged but not bw themselves so d ans comes 6! / 2! = 720 / 2 = 360
|
VAIBHAV BEST
< THE GAME IS ON > |
this reply: 5 points
(with 1
in 1 votes ) [?]
|
|
You have to be logged on to rate
|
|
|
5 Jan 2007 17:05:55 IST
|
|
|
VAIBHAV, CAN YOU PLZ..EXPLAIN WHY THAT 2! COMES IN THE DENOMINATOR AND ALSO WHICH FORMULA YOU ARE USING?
|
this reply: 0 points
(with 0
in 0 votes ) [?]
|
|
You have to be logged on to rate
|
|
|
6 Jan 2007 11:45:50 IST
|
|
|
The answer is 360 as rightly pointed by uday and Vaibhav. Rahul here you should appriciate the way uday solved the problem. A bit of applications at times can save you hell lot of time. And what Vaibhav is saying is a general case solution for this problem. The 2! comes because you are taking A and E as identical. Remember number of ways to arrange n things out of which r are identical is n!/r!
|
Krishna Gopal Singh
B.Tech Chemical Engg
IIT Delhi 2002
Currently doing PhD from IIT Delhi |
this reply: 10 points
(with 2
in 2 votes ) [?]
|
|
You have to be logged on to rate
|
|
|
8 Jan 2007 11:30:04 IST
|
|
|
Thankyou
|
this reply: 0 points
(with 0
in 0 votes ) [?]
|
|
You have to be logged on to rate
|
|
|
|
|
Moderation Team
![[Up]](/templates/default/images/icon_up.gif "[Up]"){kind=icon}
3
