Passwords and Fundamental Counting Principle

Front

Which of the following situations is represented by this tree diagram? 3 shirt options, 6 pants options, and 12 shoe options, 3 shirt options, 2 pants options, and 2 shoe options, 2 shirt options, 3 pants options, and 1 shoe option, I'm really not sure

Back

3 shirt options, 2 pants options, and 2 shoe options

Front

How many possible combinations of outfits could one make if they had to choose one shirt, one pair of pants and one kind of footwear?

Back

12

Front

How many styles of sneakers are possible if Jared can choose from high-top or low-top, shoelaces or velcro, and the colors black, white, and red?

Back

Front

How many different passwords could you make if you could use 3 digits?

Back

1000

Front

How many possible outcomes are there if you flip 4 coins?

Back

16

Front

How many unique license plates could you make if you had to use 2 digits followed by 3 letters?

Back

1757600

Front

How many passwords could you make if you had to use 8 letters?

Back

208 billion

Front

How many passwords could you make if you could use 8 letters (either uppercase or lowercase)?

Back

53 trillion

Front

A password must be two digits followed by three letters. If repeats of symbols ARE allowed, how many passwords are possible?

Back

10 X 10 X 26 X 26 X 26

Front

How many unique passwords could you make if you used 12 letters that could be either uppercase letters or lowercase letters or digits?

Back

62^12