There are 10 roller coasters at 6 flags, and you only have time to ride 3 before the park closes. how many different

ways can you create a path to 3 different roller coasters?

120

210

720

151,200

720

Step-by-step explanation:

Number of different ways he can create a path to 3 different roller coasters is given by;

N = nPr ( n permutation r) = n!/(n-r)!

Where n is the total number of roller coasters = 10

and r is the number of roller coasters he could ride = 3

Therefore,

N = 10P3 = 10!/(10-3)! = 10!/7!

N = 10×9×8 = 720

N = 720

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have