In how many ways can the letters in the word spoon be arranged?
24
30
60
120

The number of ways the  letters in the word spoon be arranged is:

                               60

Step-by-step explanation:

We have to find the number of ways the letter in the word

                   SPOON

be arranged.

We know that the total number of letters in the word is: 5

Number of times the letter 'O' is repeating: 2

Hence, the number of ways the word could be arranged is calculated as:

5!

2!

   = 5 x 4 x 3 x 2 x 1

               2 x 1

   = 5 x 4 x 3

   = 60

          Hence, the number of ways are:

                                       60

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'.