from a group of six people two individuals are to be selected at random. How many possible selections are there?

Answer 1

"Selection" usually implies that the order does not matter, so
we have the number of ways of choosind 2 from 6
or C(6,2)
= 15

or

6x5 if we worry about order.
But we have to divide by 2 to eliminate all doubles of the kind AB and BA.

so 5x6/2 = 15