1. In how many ways can the letters of the word PERMUTATIONS be arranged its (i) words start with P and end with S. (ii) vowels are all together. (iii) there are always 4 letters between P and S?
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Answer:
Now except vowels, there are 7 letters and one is for vowels so there will be total 8letters to be arranged. Now we can arrange the 8 letters as= 8! Also, vowels can interchange their positions in five number of ways = 5! So, there are total 7 ways for filling the spaces between P and S having 4 letters between them.
Answer:
Now except vowels, there are 7 letters and one is for vowels so there will be total 8letters to be arranged. Now we can arrange the 8 letters as= 8! Also, vowels can interchange their positions in five number of ways = 5! So, there are total 7 ways for filling the spaces between P and S having 4 letters between them.