The following binomial coefficient identity holds for any integer n> 0. 2n
Prove this identity combinatorially by interpreting both sides in terms of fixed density binary strings

The north and south regions had very diferent economies in the 1800s.

You have inserted new slides based on a word outline. how do you format these new slides to match the powerpoint presentation formatting? a. select all slides in the presentation and click format on the home tab. b. select the new slides and click reset on the home tab. c. select all slides in the presentation and click reset on the home tab. d. select the new slides and click format on the home tab.

Singing in the rain: this first part of the film shows the early history of motion picture. how accurate do you think the portrayal of the early motion picture industry is? why? is historical accuracy important in films and theater productions? explain.