1. alicia has 7 paintings she wants to hang side by side on her wall. a. in how many ways can she arrange all 7 paintings to create a different look from left to right each time? show your work. b. if she only wants to display 3 of the paintings, in how many different groups of 3 can she choose the paintings? show your work. c. if alicia wants to have the 3 out of 7 paintings in specific places, how many ways could she order the 3 paintings? show your work.