How many numbers less than 1000 are there that use only the digits of 2088?

  17 numbers with any number of digits

  12 numbers using as many digits as possible

Step-by-step explanation:

It depends on how many digits you are required to use. If you're not required to use more than one digit, then the possible numbers are ...

  0, 2, 8, 20, 28, 80, 82, 88,

  208, 280, 288, 802, 808, 820, 828, 880, 882

for a total of 17 numbers.

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If you must use the maximum possible number of digits, then the 1-digit numbers and the 2-digit numbers containing 0 must be taken off the list, leaving ...

  028, 082, 088, (and all the above 3-digit numbers)

for a total of 12 numbers.

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.