(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?

Question

Philoid · Accepted Answer

(i) There are 11 letters of which 3 are of 1 kind, 2 are of the 2^nd kind ,3 are of the 3^rd 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 =

(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)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?