Respuesta :

Answer:

There are 420 distinguishable ways of arranging the word "peppers"

Step-by-step explanation:

The given word is "PEPPERS"

The total number of letters in the word, n = 7

The letters which are repetative are P and S

The number of times P repeats, a = 3

The number of times S repeats, b = 2

By formula, [tex]\frac{n!}{(a!) (b!)}[/tex]

Substitue the values in the formula,

= [tex]\frac{7!}{(3!) (2!)}[/tex]

= 420