Question

The students with the best academic records in a school are chosen

for special awards. In how many orders can 4 students be chosen for
the awards out of a group of 5 high-performing students?

Answer 1

To determine the number of ways in which 4 students can be chosen for special awards out of a group of 5 high-performing students, we can use the permutation formula:

P(n,r) = n! / (n-r)!

where n is the total number of high-performing students and r is the number of students being chosen for the awards.

In this case, we have n = 5 and r = 4, so we can substitute these values into the formula:

P(5,4) = 5! / (5-4)! = 5! / 1! = 5 x 4 x 3 x 2 x 1 / 1 = 120

Therefore, there are 120 different orders in which 4 students can be chosen for the special awards out of a group of 5 high-performing students.