In how many ways can word "computer" be arranged so that vowels occupy the even positions?
OA 2,880
Please explain
COMPUTER & vowels position
This topic has expert replies
-
- Senior | Next Rank: 100 Posts
- Posts: 59
- Joined: Fri Aug 14, 2009 12:03 am
-
- Master | Next Rank: 500 Posts
- Posts: 399
- Joined: Wed Apr 15, 2009 3:48 am
- Location: india
- Thanked: 39 times
total number of letters =8
no. of vowels=3
no. of even places =4
3 things can be arranged in 4 places in 4! ways
alphabet left=5
no. of places left=5
no. of arrangements=5!
ans 5!*4!=120*24=2880
no. of vowels=3
no. of even places =4
3 things can be arranged in 4 places in 4! ways
alphabet left=5
no. of places left=5
no. of arrangements=5!
ans 5!*4!=120*24=2880
It does not matter how many times you get knocked down , but how many times you get up
-
- Senior | Next Rank: 100 Posts
- Posts: 59
- Joined: Fri Aug 14, 2009 12:03 am
Thanks! Didn't quite get this thing..xcusemeplz2009 wrote: 3 things can be arranged in 4 places in 4! ways
-
- Master | Next Rank: 500 Posts
- Posts: 399
- Joined: Wed Apr 15, 2009 3:48 am
- Location: india
- Thanked: 39 times
its similar to 3 thing has to be placed in 4 placescaspermonday wrote:Thanks! Didn't quite get this thing..xcusemeplz2009 wrote: 3 things can be arranged in 4 places in 4! ways
1st thing has 4 option
2nd has 3 option
3rd has 2 option
tot to arrange 3 things in 4 places=4*3*2=4!
It does not matter how many times you get knocked down , but how many times you get up
-
- Senior | Next Rank: 100 Posts
- Posts: 59
- Joined: Fri Aug 14, 2009 12:03 am
-
- Master | Next Rank: 500 Posts
- Posts: 103
- Joined: Fri May 22, 2009 3:56 am
- Thanked: 4 times
- GMAT Score:470