The number of words (with or without meaning) that can be formed from all the letters of the word "LETTER" in which vowels never come together is___

Step-by-step solution

Given, word is LETTER, having vowels E, E and consonants L , T , T and R . Now, the number of ways to arrange the consonants are 4! 2! =12 Now, we have five place to put vowels E, E . So, number of ways to arrange vowels is ^5 C₂=10 So, number of required words =12 10=120