Use generalized counting principle.

Explanation:

We have 10 digits to choose from {0,1,2,3,4,5,6,7,8,9} for slot A

Then after making that first selection, there are 10-1 = 9 choices left for slot B

Then for slot C, there are 10-2 = 8 choices

Finally for slot D, there are 10-3 = 7 choices

We have a steady countdown: 10,9,8,7

Overall, there are 10*9*8*7 = 5040 different permutations

Order matters because a code like 1234 is different from 4321

Alternative Method:

We can use the nPr permutation formula with n = 10 and r = 4

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

10P4 = (10!)/((10-4)!)

10P4 = (10!)/(6!)

10P4 = (10*9*8*7*6!)/(6!)

10P4 = 10*9*8*7

10P4 = 5040

and we get the same result.

definition: a circle is the  set of all points in a plane that are equidistant  from a given  point  called the center of the circle. we use the symbol ⊙ to represent a circle. the a line segment from the center of the circle to  any point  on the circle is a radius of the circle.

step-by-step explanation:

i googled it and this is what i got i don't know how it is. sorry.

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4