Math Is Fun Forum

haruka-san

Member

Registered: 2006-11-08

Posts: 205

Fundamental Counting Principles

1.    A woman has 3 skirts, 5 blouses and 4 scarves. How many different outfits can she wear assuming that they are color coordinated?

2.    How many different ways can 6 speakers be seated a row on speaker’s platform?

3.    Seven dice are rolled. How many different outcomes are there?

4.    At educational film festival 8 film are to be shown. How many different ways can these 8 films be shown?

5.    How many different 4-digit identification tags can be made if the digits can be used more than once? If the first digit must be a 7 and repetitions are not permitted?

6.    If a baseball manager has 5 pitchers and 2 catchers, how many different possible pitcher-catcher combinations can he field?

7.    A coin is tossed 8 times. How many different outcomes are there?

8.    Given the digits 0,1,2,3,5 and 6, how many different 4-digit numbers can be made that are visible by 4 if repetitions are allowed? If repetitions are not allowed?

9.    How many different ways can a person select one or more coins if he has two - one peso,  one - five pesos and one – ten pesos?

10.    In a barnyard there is an assortment of chickens and cows. Counting heads, one gets 15; counting legs, one gets 46. How many of each are there?

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