
                ### Instruction: help me answer this question In how many ways can the letters of the word PERMUTATIONS be
(i) Words start with P and end with S
(ii) Vowels are all together
(iii) There are always 4 letters between P and S, think step by step
                ### Assistant: Formulas used are permutations and combinations. , The answer is { (i) The number of words that start with P and end with S is 1,51,200, (ii) The number of words in which the vowels are all together is 126, (iii) The number of words in which there are always 4 letters between P and S is 13,860 }
