The number of words (with or without meaning) that can be formed from all the letters of the word " L E T T E R " in which vowels never come together is.....

Step-by-step solution

Consonants are L ,   T ,   T ,   R Vowels are E ,   E , Total number of words (without meaning) from letters of word ' LETTER ' = 6 ! 2 ! 2 ! = 180 Total number of words (with or without meaning) from letters of word ' LETTER ' if vowels are together = 5 ! 2 ! = 60 ∴ Required = 180 - 60 = 120