Question

In how many orders can seven different pictures be hung in a row so that one specified picture is at the center?

Options:
1.) 36
2.) 512
3.) 360
4.) 720

Answer 1

1)36 is your answer.......

Answer 2

720

There are seven spots for seven pictures. Spot #4, the one in the middle, has to be a specified one. Therefore spot #1 has 6 different pictures that could go in it, spot #2 has 5 different pictures that can go in it (since there is already a picture in spot #1 and #4), spot #3 has 4 options, spot #5 has 3, spot #6 has 2, spot #7 has only one picture that could possibly be put there.

The answer is 6! The exclamation is the symbol for a factorial and tells you to do

6x5x4x3x2x1=720