There are always 4 letters between P and S? | Filo

Class 11

Math

Algebra

Permutations and Combinations

595
150

There are always letters between and ?

1. 25401600
Solution: There are letters in word . occurs twice .
Here, and are fixed. These and can interchange their position. Hence, and can be arranged in ways.
Since, and are fixed, there are letters left , where occurs twice .
From these letters, letters can be chosen in ways.
Now since,   letters are between and , so these six letters can be considered as a single object (letter). These four letter (between and )can be arranged in ways.
Now, the remaining letters and 1 object i.e. total can be arranged in ways.
Hence, required number of ways

595
150

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