Respuesta :

Answer:

PAYMENT be arranged letters are taken 5 times then total 35 letters

Step-by-step explanation:

Answer:

2520

Step-by-step explanation:

Permutation refers to different ways of arranging r objects out of given n objects in a particular order .

Permutation is denoted by [tex]n_{P}_{r}=\frac{n!}{\left ( n-r \right )!}[/tex]

where n refers to total number of objects and r refers to the objects to be arranged .

Given word :  PAYMENT

Total number of letters (n) = 7

No. of letters to be arranged (r) = 5

Here, we need to arrange 5 letters out of given 7 letters in a particular order .

Therefore,

no. of  ways =  [tex]7_{P}_{5}=\frac{7!}{\left ( 7-5 \right )!}=\frac{7!}{2!}=2520[/tex]