Question

How many words can be formed with the letters of the word "ORDINATE" so that vowels occupy odd places?

And) sir/mam can this be done like this:

No. Of words that can be formed=4!*3!*2!

Answer 1

No,

v c v c v c v c :vowels can occupy v places and Consonants can occupy c places.

Now There are four vowels(different) in word ORDINATE and four different places.

Possible combinations of arrangements 4!=24.

Similar 4 consonants(Different) and 4 spaces Combinations of Arrangements= 4!=24.

Thus Total Combinations=24*24=576.