How many different ways can Danny hang his pictures?

Question

Danny has five pictures that he wants to hang horizontally one row on his wall.
He wants to have the picture of the football in the middle. The picture of the sunflower can either be on the far right or the far left side.
This is one possible way:

sunflower, car, football, baby, animal

How many different ways can Danny hang his pictures?

Answer 1

Let's set the first picture to be Sunflower:

 

Then there are

 

1 x 3 x 1 x 2 x 1 ways to hang the pictures up (bold represents the fixed pictures)

 

Let's set the last picture to be Sunflower:

 

Then there are

 

3 x 2 x 1 x 1 x 1 ways to hang the pictures up (bold represents the fixed pictures)

 

So there are 6 + 6 = 12 total ways

 

 

J.T.