The letters of the word promise are arranged so that no two of the vowels should come together. find total number of arrangements.
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6!
Anuradha Sharma answered this
O, I, E should not come together.
-P-R-M-S-
There are five positions to be filled by 3 letters. Number of selecting 3 positions for the vowels is 5C3.
The vowels can in turn rearrange among themselves in 3! ways.
The consonants P, R, M, S can also arrange among themselves in 4! ways
so the total number of ways: 4! *3!* 5C3
=1440 ways.
Anuradha Sharma answered this
O, I, E should not come together.
-P-R-M-S-
There are five positions to be filled by 3 letters. Number of selecting 3 positions for the vowels is 5C3.
The vowels can in turn rearrange among themselves in 3! ways.
The consonants P, R, M, S can also arrange among themselves in 4! ways
so the total number of ways: 4! *3!* 5C3
=1440 ways.
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