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Worked Example

In the word SIMPLE all the letters are different. Including the one given, how many possible arrangements are there of these 6 letters?
Worked Example

The word EXCEL has one letter which repeats: the ‘E’ repeats twice. How many different arrangements are there of these 5 letters?
Worked Example

The word \( EXCEED \) has a letter which repeats 3 times. How many different arrangements are there of these 6 letters?
Worked Example

The word \( EXCELLENT \) has two different letters which repeat.

The \(E\) repeats 3 times, the \(L\) twice.

How many arrangements are there of these 9 letters?

Binomial Theorem