1. in how many ways can five identical rooks be placed on the squares of an 8 by 8 board so that four of them forma the corners of a rectangle with sides parallel to the sides of the board.
2. consider and 9 by 9 board and nine rooks of which five are red and four are blue. suppose you place the rooks on the board in nonattacking positions at random. What is the probability that the red rooks are in rows 1,3,5,7,9? What is the probability that the red rooks are both in rows 1,2,3,4,5 and in columns 1,2,34,5?