NDA2010MathematicsPermutation and CombinationActual
What is the number of ways of arranging the letters of the word 'BANANA' so that no two N's appear together?
Options
- A40
- B60
- C80
- D100
Correct answer
A. 40
Step-by-step solution
Total alphabets =6 Total no. of words = 6! 3!2! = 720 6 2 =60 Let two 'Ns' come together. Total no. of words = 5! 3! Reqd. numbers =60-20=40 .