Question

If the picture of your great grandfather must be in the middle, how many ways can 7 pictures be hung?

Answer 1

Answer with Step-by-step explanation:

There are total 7 pictures.

The great grandfather's picture must be in the middle.

So now we have to arrange the remaining 6 pictures.

There are 6 other choices that must be made.

The first picture has 6 possibilities.

The second has 5 possibilities.

The third has 4 possibilities and so on

So, The total choices are:

6×5×4×3×2×1=6!=720

Answer 2

Answer:
720 ways to hang the pictures.

Step-by-step explanation:
The answer can be found using the fundamental counting principle or 6!.

There are 7 pictures but the grandfather must be in the middle so it is the only possible choice. there are 6 other choices that must be made. the first picture has 6 possibilities, the 2nd has 5 possibilities, the 3rd has 4 possibilities, etc. giving us the possibilities can also be listed as:
6*5*4*3*2*1 or 6! =720.