Activity 2

1. A frozen yogurt shop allows you to choose:
   • one base flavor (vanilla, strawberry, lemon, cherry, or peach)
   • one topping (chocolate shavings, crushed toffee, or crushed peanuts)
   • one condiment (whipped cream or shredded coconut)
   How many different desserts are there assuming you must take one from each category?
• 5*3*2 = 30
2. In exercise 1, how many dessert choices do you have if you are allergic to strawberries and chocolate?
   • 4*2*2 = 16
3. A video game is begun by making selections from each of 3 menus. The first menu (number of players) has 4 selections, the second menu (level of play) has 8 selections, and the third menus (speed) has 6. In how many configurations can the game be played?
• 4 * 8 * 6 = 192
4. A multiple choice exam as 20 questions, each with 4 possible answers and 10 additional questions, each with 5 possible answers. how many different answer sheets are there?
• 4²⁰ * 5¹⁰
5. A user's password to access a computer system consists of 3 upper case letters followed by 2 digits. How many different passwords are possible?
• 26³*10²
6. If the computer system of exercise 5 can differentiate between uppercase and lowercase letters, how many passwords are possible?
   • 52³*10²