2. Box 1Box 2Box 3 Box 4Box 5Box 6 Box 7Box 8Box 9 9.6 Counting Principle Tic Tac Toe Press F5. Take turns choosing boxes. The person who chose the box has priority to answer the problem. If both players get the box wrong, RPS. Please do all 9 problems even if somebody wins. X X O O X X O O X X O O X X O O X X O O X X O O X X O O X X O O X X O O

3. Back to game Box 1 A customer can choose one of four amplifiers, one of six compact disc players, and one of eight speaker models for an entertainment system. Determine the number of possible system configurations.

4. Back to game Box 2 A college needs two additional faculty members: a chemist and a statistician. In how many ways can these positions be filled if there are three applicants for the chemistry position and six applicants for the statistics position?

5. Back to game Box 3 You are taking a chemistry test and are asked to list the first ten elements in order as they appear in the periodic table of elements. Suppose you have no idea of the correct order and simply guess. In how many different orders could you list the elements?

6. Back to game Box 4 Four people are lining up for a ride on a toboggan, but only two of the four are willing to take the first position. With that constraint, in how many ways can the four people be seated on the toboggan?

7. Back to game Box 5 In a certain state the automobile license plates consist of two letters followed by a four-digit number. How many distinct license plate numbers can be formed?

8. Back to game Box 6 In a certain state the automobile license plates consist of two letters followed by a four-digit number. To avoid confusion between “O” and “zero” and “I” and “one,” the letters “O” and “I” are not used. How many distinct license plate numbers can be formed?

9. Back to game Box 7 How many different ways can 6 children line up in a row?

10. Back to game Box 8 You can answer any 8 questions from a total of 14 questions on an exam. In how many different ways can you select the questions?

11. Back to game Box 9 There are 40 numbers in a particular state lottery. The first 5 numbers are taken from the same bin of ping pong balls (no repeating) and the last number (the Powerball) is taken from its own bin. How many different ways can a player pick numbers?