If six different chips are to placed on the board, how many different layouts are possible?

We have to figure out how many different ways to arrange this. To start, there are 6 different ways to get the first spot. Next, there are 5 ways to get the next one, so we have 6*5 due to that for each of the first 6 ones, there are 5 options for the next spot. Using that reasoning for all of the rest of the spots, we get 6*5*4*3*2*1=6! (since it goes from 6 all the way to 1 using multiplication)=720

M< 5 = 80 , < 2 = 80, < 6= 100, < 3= 100, < 7= 80, < 4= 80, < 8= 100