SOLUTION: 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

Algebra ->  Permutations -> SOLUTION: 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      Log On


   

Question 884595: 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 by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
He can choose the place for the football picture in only 1 way, in the middle.
He can then choose the place for the sunflower picture in 2 ways.
He can then choose the place for the car picture as any one of the remaining 3 places.
He can then choose the place for the baby picture either one of the remaining 2 places.
He can then only choose the place for the animal picture as to only 1 remaining place.

Answer:  1x2x3x2x1 = 12 ways.

Checking:

 1. SCFBA
 2. SCFAB
 3. SBFCA
 4. SBFAC
 5. SAFCB
 6. SAFBC
 7. CBFAS
 8. CAFBS
 9. BCFAS
10. BAFCS
11. ACFBS
12. ABFCS

Edwin