what is the probability

Question

Seven qualified students apply for a scholarship, but only five scholarships, (equal in value) can be given. If the 5 scholaarships are all different, how many ways can 5 winners be selected?

Answer 1

Here, since the five scholarships are all different we need to use a permutation because oder matters. We have 7 students and 5 different scholarships, so this will be 7P5=2520 ways.