How many different heptominoes (made from 7 squares) are there that have 5 squares in a column and 1 square attached to opposite sides of the column? One is sketched below. Templates are given to make it easier to draw others—you will not necessarily need all of them.

You are burning a CD for your assignments. You have assignments of 15 different However, you want to put only 7 assignments on the CD. In how many orders can you 7 of the 15 assignments onto the CD?

How many ways can four of the letters of the word MAILBOX be selected and written in a row if the first letter must be M?

4 For this problem, assume there are 10 adjacent seats in a row. How many different ways can 10 people be seated in them?

In the given grid, an ant begins at the "Start" cell and in each move, it can go either one step right or down to any adjacent cell with common side until it reaches the "End" cell. If in each move, Start 18 15 13 14 12 26 it gets the number in the square, then what is the smallest sum the ant can 17 11 19 10 get? (A) 91 (B) 95 (C) 96 8. 24 11 (D) 97 (E) 102 20 4. 19 En 10 O B 21 %3D 17 21 20 t6

Suppose that nine children are sitting in a row. When the music starts, they get up and run around the row of chairs. When the music stops they each sit in an empty chair. In how many ways can it happen that none of them are sitting in the original chair that they occupied at the start of the game? Use an approximation for your answer and round it to the nearest whole number.