n a class of 25 students, find the total number of ways to select two representatives, if a particular person is never selected.Choices:- 256 276 225 290

The problem is a combination problem. We are choosing 2 representatives from a class of 25 students, but one particular person can never be selected.

So, we are actually choosing 2 representatives from 24 students (25 - 1 = 24).

The formula for combinations is C(n, r) = n! / [(n-r)! * r!], where n is the total number of items, r is the number of items to choose, and "!" denotes factorial.

Here, n = 24 (the number of students we can choose from) and r = 2 (the number of representatives we want to choose).

So, we have C(24, 2) = 24! / [(24-2)! * 2!] = 24! / [22! * 2!]

= (24 * 23) / (2 * 1) = 276

So, the total number of ways to select two representatives, if a particular person is never selected, is 276. Therefore, the correct choice is 276.