Answer: Hello, hope this helps :)
Explanation:
Total number of vacant seats = 4 seat
Number of students Looking for Seats = 12 Student
We have to fill the four Seats and there are 12 students.
First Seat can be filled in 12 ways,11 students are left, So, second seat can be filled in 11 ways ,Now, there are 10 students left ,So, third seat can be filled in 10 ways, Now there are 9 students left, so last seat can be filled in 9 ways.
Total number of ways of filling 4 seats if there are 12 number of students
=12 × 11 × 10 × 9
=132 × 90
= 11880 ways
Or ,you can solve it directly by the concept of Permutation.
Total ways of filling 4 vacant seats if there are 12 students in all
=12/4 P= 12/(12-4)= 12x 11 x 10 x 9 x 8 / 8 = 12x 11 x 10 x 9 x 8= 11880
So your answer would be:
11880
Happy Halloween! Let me know if this helps please, thanks!