COMPUTER & vowels position

[caspermonday]

In how many ways can word "computer" be arranged so that vowels occupy the even positions?

OA 2,880
Please explain

[xcusemeplz2009]

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

[caspermonday]

3 things can be arranged in 4 places in 4! ways

Thanks! Didn't quite get this thing..

[xcusemeplz2009]

3 things can be arranged in 4 places in 4! ways

Thanks! Didn't quite get this thing..

its similar to 3 thing has to be placed in 4 places

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!

[caspermonday]

Get it, thanks!

[gmatplayer]

Goodone! I missed that