Question

In how many ways can the letters of the word 'TEAMING' be arranged if vowels are always together?​

Answer 1

When the vowels OIA are always together, they can be supposed to form one letter. Then, we have to arrange the letters PTCL (OIA). Now, 5 letters can be arranged in 5! = 120 ways.

Answer 2

Step-by-step explanation:

we can segregate as TMNG 4 Consonants and EAI 3 vowels. Thus we can say them as 5 letters

So it will be 5!

Again the 3 vowels can be arranged among themselves in 3! ways.

So total number of letters can be= 5!*3! = 120*6 =720