If number of words which can be formed using all the letters of the word "MIMIXA" in which no two alike letters are together is (12 ~m ) , then find the value of m .

Step-by-step solution

Required number of words = number of words in which M's are separated - number of words in which M's are separated by I's are together aligned & = 4 ! 2 ! ^5 C₂-3 ! ^4 C₂ & =120-36=84=12 7 aligned