3. lynne is tiling her long and narrow rectangular front hall. the hall is 2 tiles wide and 8 tiles long. she is going to use exactly 6 black tiles and exactly 10 white tiles. what is the number of distinct ways of tiling the hall so that no two black tiles are adjacent? 4. how many ways are there of choosing 8 calculators from 12 (distinguishable) calculators?

Have you ever been in the middle of telling a story and had to use hand gestures or even a drawing to make your point? in algebra, if we want to illustrate or visualize a key feature of a function, sometimes we have to write the function in a different form—such as a table, graph, or equation—to determine the specific key feature we’re looking for. think about interactions with others and situations you’ve come across in your own life. how have you had to adjust or change the way you represented something based on either the concept you were trying to describe or the person you were interacting with? explain how the complexity or layout of the concept required you to change your style or presentation, or how the person’s unique learning style affected the way you presented the information.