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In how many ways can the letters of the word PERMUTATIONS be arranged if the words start with P and end with S. - Mathematics

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प्रश्न

In how many ways can the letters of the word PERMUTATIONS be arranged if the words start with P and end with S.

योग

उत्तर

The word PERMUTATIONS has a total 12 letters, in which T – 2, rest all are different.

The positions of P and S have been fixed.

Hence, in this case, required number of arrangements  

= `(10!)/(2!)` = 1814400.

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अध्याय 7: Permutations and Combinations - Exercise 7.3 [पृष्ठ १४८]

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एनसीईआरटी Mathematics [English] Class 11
अध्याय 7 Permutations and Combinations
Exercise 7.3 | Q 11.1 | पृष्ठ १४८

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