On the occasion of marriage anniversary a couple invited their 8 friends for a party to be held around a circular table containing 10 chairs. In how many ways they can be seated if there has to be exactly one friend to be seated in between couple?
Given two points on a 2D plane X1(3, 0) and Y1(0, 4). A mirror passes through origin which makes an angle of 45 degrees with the x-axis in the clockwise direction. A line drawn as normal from the origin to the reflected line X\' and Y\' which divides the reflected line into two parts p and q. Find the length of p and q.