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How many different arrangements of the letters in the word LOLLIPOP are there?

How many different arrangements of the letters in the word LOLLIPOP are there?

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Answer #1

Answer:-

Given That:-

How many different arrangements of the letters in the word LOLLIPOP are there?

Given,

The word is LOLLIPOP.

There are 8 letters in the word.

There are 3L's, 2O's, 2P's, 1I.

There are n = 8 objects with 3 objects of one kind, 2 objects of the other, 2 objects of the other, 1 of the other kind.

The number of distinct ways of arraging the letter is given by the formula:

Number of ways = 8!/(3!*2!*2!*1!)

= 1680 ways

Therefore, there are 1680 ways.

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