Question

How many distinct permutations of the letters of the word ALFALFA are there?

Answer 1

Answer: There are 210 distinct permutations of the letter of that word.

Explanation:

Since we have given that

ALFALFA

Here, 3 A,

2 F,

2 L

Number of letters in that word = 7

So, Number of distinct permutations of the letters of the word "ALFALFA":

`(7!)/(3!* 2!* 2!)\\\\=210`

Hence, there are 210 distinct permutations of the letter of that word.

Answer 2

There are 210 different permutations

EXPLANATION

The word 'ALFALFA' has 7 letters.

The letter 'A' repeats three times.

The letter 'F' repeats two times.

The letter 'L' also repeats two times.

The number of different permutation is

`(7!)/(3!2!2!) = 210`

There are 210 different permutations.