Find the number of ways in which all twelve letters of the word MISSPELLINGS can be arranged if both the I's are placed at the beginning and both the L's are placed at the end, between any two S's, there must be at least 4 other letters. (i) (ii) A group of 8 letters is randomly selected from the letters of the word MISSPELLINGS. Find the probability that (iii) all 8 letters are distinct, (iv) the 2 I's are next to each other, the 2 L's are next to each other, and the 3 S's are next to each other.

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