Problem 4 (3 pts): Let n be a positive integer. Show that among any group of n 1 (not necessarily consecutive) positive integers there are at least two with the same reminder when they are divided by n.

Which of the statements below is true? the formatting, standard, and drawing commands are unavailable. the formatting, standard, and drawing commands have been used. the formatting, standard, and drawing toolbars are displayed. the formatting, standard, and drawing toolbars are hidden.

This first part of the film shows the early history of motion pictures. how accurate do you think the portrayal of the early motion picture industry is? why? is historical accuracy important in films and theatre productions? explain. in the scene where don is going to the party (starting at time code 14: 51), we see a street scene as he first rides with cosmo and then with kathy. what aspects did the filmmaker include to make the scene look and feel like don, cosmo, and kathy are riding in a car on a street? think about elements such as scenery, sound, props, lighting, and so on. a "talkie" picture is shown starting around time code 21: 15. how does the audience in the film react to the "talkie"? what influence do audiences have on film and theatre performances? how do film and theatre actors influence audiences? in the musical scene with cosmo (starting at time code 27: 00), how does the actor use props? what is the result? do you think the use of props effectively fulfilled the artistic vision for this musical number? why or why not?

Hassan is writing his master’s thesis, which is a thirty-page document. he received some feedback from his professor in the form of comments, but does not see where the comments are. what is the fastest way for hassan to find the feedback?