A sequence $latex a_1,\ a_2,\ \ldots,\ a_n$ is called almost-increasing if $latex a_i\le a_{i+1}+8$ for all $latex i$. For example, the sequence $latex 160,\ 170,\ 165,\ 180,\ 175$ is almost-increasing. (a) How many different rearrangement of the sequence $latex 140,\…

  due to December 5,  2016