Question

How many ways can the letters in the word PARALLEL be arranged?

Answer 1

3,360 ways.

Step-by-step explanation:

In the word PARALLEL

• Number of letters = 8

,

• Number of Ls = 3

,

• Number of As = 2

Since no other restriction is given, the number of ways in which the letters can be arranged is:

`(8!)/(3!*2!)`

We solve to obtain our result.

`\begin{gathered} (8!)/(3!*2!)=(8*7*6*5*4*3!)/(3!*2!) \\ =(8*7*6*5*4)/(2!) \\ =8*7*6*5*2 \\ =3360\text{ ways} \end{gathered}`

The word can be arranged in 3,360 ways.