Calculate how many ways the letters of the word "ARISTOTLE" can be arranged, if
(i) The T's are not together.
(ii) The vowels are together.
(iii) The consonants are together.
c)
You have to make a string of length 7, using lowercase letters only. Here are some conditions on the strings:
(i) The first letter can be any lowercase letter.
(ii) A vowel must be followed by a consonant, and vice versa. (For example, if the first letter is a vowel, then the second one must be a consonant, and the third letter must be a vowel, and so on. Similarly evaluate the case of the first letter is a
consonant.)
(iii) A letter can be used as many times as possible.
How many such strings are there?