Permutations with Repetitions Examples on Alphabets2

In this class, We discuss Permutations with Repetitions Examples on Alphabets2.

The reader should have prior knowledge of permutations with repetitions formulae. Click Here.

Example:

missisippi

1) Total number of words possible with all s’s together.

We consider four “s” as a single element.

A total of 8 elements are there.

Total permutations = 8! /(2! 4!)

2) All “s” together and all “i” together.

Placing all “s” together and all “i” together

The total elements are 5.

Total probability = 5! / 2!

3) All “s” together and all “i” not together.

We use these types of examples using the complement method.

Total = Permutations with all “s” together – Permutations with all “s” together and all “i” together.

Total = 8!/(2! 4!) – 5!/2!