The fundamental counting principle states that if there are p ways to do one thing, and q ways to do another thing, then there are p×q ways to do both things .
1. Ways to get to work: 3 trains and 4 buses 3 x 4 = 12 ways
2. Dance partners: 12 girls & 10 boys 12 x 10 = 120 dance partners
3. Code word: One digit number and a letter 10 x 26 = 260 codes
4. Dinner: Five pastas and three sauces 5 x 3 = 15 choices of dinner
5. Games: Three coins and 12 cards 3 x 12 = 36 pairs
6. Lunch: 8 sandwiches, 5 soups, 9 beverages 8 x 5 x 9 = 360 viands
7. Committee : 5 freshman, 6 sophomores, 4 juniors, 3 seniors 5 x 6 x 4 x 3 = 360 possible commitees
8. Coins : A) 2 times B) 3 times C) 4 times D) n times A: or 2x2 = 4 B: or 2x2x2 = 6 C: or 2x2x2x2 = 16 D:
Eggs Cereal Banana Orange Strawberries Banana Orange Strawberries Milk Apple Juice Orange Juice Milk Apple Juice Orange Juice Milk Apple Juice Orange Juice Milk Apple Juice Orange Juice Milk Apple Juice Orange Juice Milk Apple Juice Orange Juice 2 x 3 x 3 = 18 viands