The ten students in a club are lined up in a row for a group photograph. how many different arrangements are possible if the club includes one set of identical triplets wearing matching clothes? 604,800 720 10,000,000

604800

Step-by-step explanation:

Given : The ten students in a club are lined up in a row for a group photograph.

To Find:  How many different arrangements are possible if the club includes one set of identical triplets wearing matching clothes?

Solution:

The club includes one set of identical triplets wearing matching clothes

So, the remaining students = 10-3 = 7

Now there is an arrangement between these seven students.

Since order has to be maintained .So, we will use permutation

Formula :

So,  

Hence there are 604800 possible arrangements  if the club includes one set of identical triplets wearing matching clothes