# How many words ca

In ORDINATE,

The vowels are O,I,A,E. As vowel can occupy the odd places only, in the above diagram vowels will occupy 1st,3rd,5th,7th places only.

Now 1st place can be filled in 4 ways.

3rd will be in 3 ways.

5th will be in 2 ways.

7th will be in 1 way.

Rest of the words will be filled in even places in 4! Ways.

So total ways = 4× 3× 2× 1× 4!

= 4× 3× 2× 1× 4× 3× 2× 1

= 24× 24

= 576

Hence there are 576 ways.

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