The number of 4 letter words (with or without meaning) that can be formed from the eleven letters of the word E X A M I N A T I O N is

Step-by-step solution

E X A M I N A T I O N 2 N , 2 A , 2 I , E , X , M , T , O Case I: All are different, so 8 P 4 = 8 ! 4 ! = 8.7 . 6.5 = 1680 Case II: 2 same and 2 different, so 3 C 1 . C 2 . 4 ! 2 ! = 3.21.12 = 756 Case III: 2 same and 2 same, so 3 C 2 . 4 ! 2 ! 2 ! = 3.6 = 18 Total number of words = 1680 + 756 + 18 = 2454