How many different 10 letter words (real or imaginary) can be
formed from the following letters

H,T,G,B,X,X,T,L,N,J

H,T,G,B,X,X,T,L,N,J

## Answer

Consi der the following letters: H,T,G,BXX,T1,NJ Find different 10 letter words can be formed from the above letters. Number of letters in the word- 10 The number of repititi ons of the letters in the respective word 212! Recall the formula The total number of wor ds in a given letters = alb Here n Number of letters in the word albl The number of repititions of the letters in the respective word Given letters are H,T,G,BX NJ Number of letters in the word ‘n’10 a 2l (Letter T repeating 2 times) b =21(Letter X repeating 2 times) 10! Therefore, total number of words = 2!2! 10. 9.8.7.6.5.4-3.2.1 (2.1)(2.1) =907200 Thus, the total number of words is 907200