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Q.11. In how many ways can the letters of the word PERMUTATIONS be arranged if the
(iii) there are always 4 letters between P and S?
Answers (1)
The letters of the word PERMUTATIONS be arranged in such a way that there are always 4 letters between P and S.
Therefore, in a way P and S are fixed. The remaining 10 letters in which 2 T's are present can be arranged in
ways.
Also, P and S can be placed such that there are 4 letters between them in ways.
Therefore, using the multiplication principle required arrangements
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