Find the number of ways of arranging the letters of the word "MATERIAL" such that all the vowels in the word are to come together?
Q1. Find the number of ways of arranging the letters of the word "MATERIAL" such that all the vowels in the word are to come together?
Answer: 1440
Explanation: MATERIAL has vowels A,E,I,A (4 with A repeated); treating vowels as one block gives 5 units with 5! = 120 arrangements; vowels arrange in 4!/2! = 12 ways; total = 120×12 = 1440.