JEE Main2016MathematicsPermutation and CombinationActual
If all the words (with or without meaning) having five letters, formed using the letters of the word S M A L L and arranged as in a dictionary; then the position of the word S M A L L is
Options
- A52 n d
- B58 t h
- C46 t h
- D59 t h
Correct answer
B. 58 t h
Step-by-step solution
S M A L L Total number of words formed would be 5! 2! = 60 When arranged as per dictionary. The words starting from A A -   -   -   - 4! 2! = 12 The words starting from L L -   -   -   -   =   4! = 24 The words starting from M M -   -   -   -   = 4! 2! = 12 The words starting from S S   A -   -   -   = 3! 2! = 3 S   L -   -   -   3! = 6 S   M   A   L   L   = 1 ∴ Rank would be 12