1.the letters of the word promise have to arranged so that no two vowels come together .find the number of arrangements

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- Jul 31st 2009, 10:56 PMbluffmaster.roy.007number of arrangements of letters ....
1.the letters of the word promise have to arranged so that no two vowels come together .find the number of arrangements

- Jul 31st 2009, 11:43 PMsongoku
Hi bluffmaster.roy.007

First, you find the number of ways to arrange the consonants.

Then for no two vowels come together, you can put them at the positions indicated by : _

_p_r_m_s_

There are five positions to be filled by 3 letters, find the number of ways to do it.

Then, find the total number of arrangements.