AT91Scani56. In how many ways can the letters in the word ENGINEERING

1.	AT91Scani56. In how many ways can the letters in the word ENGINEERING be ar-ranged such that no two E's are together?
Answer» engineering can be arranged as=(11!/3!2!3!2!)=277200now,engineering can be arranged so,that vowels come together=(7!/3!2!)=4200 so,engineering can be arranged so,that vowels not come together=(277200-4200)=273000 ans

AT91Scani56. In how many ways can the letters in the word ENGINEERING be ar-ranged such that no two E's are together?

Answer»

engineering can be arranged as=(11!/3!*2!*3!*2!)=277200now,engineering can be arranged so,that vowels come together=(7!/3!*2!)=4200

so,engineering can be arranged so,that vowels not come together=(277200-4200)=273000 ans