Our club has $25$ members, and wishes to pick a president, secretary, and treasurer. In how many ways can we choose the officers, if individual members are allowed to hold $2,$ but not all $3,$ offices?

Consider the six by six grid of unit squares below. How many rectangles of area 8 square units can be formed using only the line segments of the grid as the sides of the rectangles?

Guest Jun 3, 2018