Answer:
Na = 720 - 120 = 600 ways
The 3 people can arrange themselves in 600 possible ways.
Step-by-step explanation:
For at least one of the three friends to seat on an aisle seat, the number of possible arrangements can be given as;
Na = Nt - Nn .....1
Where;
Na = number of possible arrangements with at least one of the seating on an aisle seat.
Nt = total number of possible arrangements for the three friends
Nn = number of possible arrangements with none of the three friends seating on an aisle seat.
Given;
Total number of seats available = 10
Total number of aisle seats available = 4
Total number of people = 3
So;
Nt = 10C3 = 10×9×8 = 720
Nn = (10-4)C3 = 6C3 = 6×5×4 = 120
From equation 1;
Na = 720 - 120 = 600 ways
The 3 people can arrange themselves in 600 possible ways.
