1. Five people arrive simultaneously at a theater. In how many ways can they line up at the ticket booth?

120

Step-by-step explanation:

Using factorial, we can calculate the total possible number of combinations to line up.

5! = 120.

5! is another way of saying 5 × 4 × 3 × 2 × 1

linear

step-by-step explanation:

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.