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