Question: (b) A password will be formed using the letters in the word STATISTICS. Calculate all possible number of passwords in each of the following cases.

(b) A password will be formed using the letters in the word STATISTICS. Calculate all possible number of passwords in each of the following cases. (i) The letter in the centre is A. {3 marks} (ii) No vowel is next to another vowel. {3 marks} 5 letters are chosen from the word STATISTICS. (iii) Calculate the number of passwords which contain 2 TS and l A. (4 marks)

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