Question

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

Answer 1

ANSWER

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

$\frac{7!}{3!2!2!} = 210$

There are 210 different permutations.

Answer 2

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

Step-by-step 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":

$\dfrac{7!}{3!\times 2!\times 2!}\\\\=210$

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