(i)Find the number of different words by using all the letters of the word, ‘INSTITUTION’.
In how many of them
(ii) are the three T’ s together
(iii) are the first two letters the two N’ s?
(i) There are 11 letters of which 3 are of 1 kind, 2 are of the 2nd kind ,3 are of the 3rd kind
Number of arrangements = 554400
(ii) Let all the three T’s be denoted by a single letter Z
New word is INSIUIONZ
Number of permutations = 30240
(iii)
There are 9 places to be filled by 9 letters of which 3 are of 2 different kinds
Number of permutations =