FUNDAMENTAL COUNTING PRINCIPLE

It states that if there are p ways to do one thing, and for each of these ways there are q ways to do another thing, then there are p × q ways to do both things.

• COMBINNATION

• FUNDAMENTAL COUNTING PRINCIPLE

• PERMUTATION

Ten runners join the race. In how many possible ways can they be arranged as first, second, and third placers?

(a)  

If Jun has 12 T-shirts, 6pairs of pants, and 3 pairs of shoes, how many possibilities can he dress himself for the day?

• 216

• 126

• 621

How many four digit numbers can be formed from the numbers 1,3, 4, 6, 8, and 9 if repitition is not allowed?

• 360

• 125

• 432

An arrangement of objects in a straight line where the arrangement of the objects is important. It is special case of the counting principle – it tells us the distinct number of arrangements of objects, one after the other, form a set of objects.

• COMBINATION

• FUNDAMENTAL COUNTING PRINCIPLE

• PERMUTATION

In how many ways can you place nine different books on a shelf if there is space enough for only five books?

(a)  

In how many ways can five people arrange themselves in a row for picture taking?

(a)  

A tailoring shop makes jackets in 4 different colors. If each jacket is available in 3 fabrics, 2 kinds of collars, and a choice of button or zipper, how many different types of jackets do the tailoring shop make?

(a)  

In the coming track and field competition, seven sprinters will run the 100-meter dash. How many ways can gold, silver and bronze medals be awarded?

(a)  

In Make-Your-Own Pizza Parlor, a customer can choose between either a thin or thick crust. For the meat topping, the parlor offers a choice of bacon, pepperoni, sausage, or ground beef. For the veggie topping the choices are mushroom, onion, or green pepper. And for the cheese topping, one can choose from mozzarella, provolone, blue cheese, or cream cheese. How many different kinds of pizza can be made?

(a)