Consider a 1 by n chessboard. suppose we color each square of the chessboard with one of the two colors red and blue. let hn be the number of colorings in which no two squares that are colored red are adjacent. find and verify recurrence relation that he satisfies. then derive a formula for hn.

Ahomeowner plans to hang wallpaper on one wall of a bedroom that is 10 feet long if a stripe of wallpaper is 20 inches wide and stripes or hung vertically how many stripes on wall paper with the homeowner required

Pls! does anybody know a shortcut for answering these types of questions in the future?

Suppose you just purchased a digital music player and have put 8 tracks on it. after listening to them you decide that you like 4 of the songs. with the random feature on your player, each of the 8 songs is played once in random order. find the probability that among the first two songs played (a) you like both of them. would this be unusual? (b) you like neither of them. (c) you like exactly one of them. (d) redo () if a song can be replayed before all 8 songs are played.