College Math Unit 3 Lesson 1 Review
3) The outlet mall is selling special windproof ski jackets in different styles for men and women. For each of the styles, there are 4 colors (purple, teal, yellow, blue) in each of 3 sizes (small, medium, large).
B) If there were also an XL size, how many options would there be?
2) For one Website, passwords consist of five characters: three digits from 0 to 9, followed by two letter from A to Z.
B) Suppose an unauthorized user tries to gain access to the system simply by trying different passwords. If it took one second to try one password, how long would it take to try all of the passwords in hours?
8) A website password consists of any 7 letters followed by any 2 digits.
B) Suppose that no letters or digits can be repeated. How many passwords are possible?
12) In New York, an Empire license plate has 7 characters - 3 letters followed by 4 numbers.
B) Suppose that no letters or numbers can be repeated. How many Empire license plates are possible?
12) In New York, an Empire license plate has 7 characters - 3 letters followed by 4 numbers.
A) How many different Empire license plates are possible?
3) The outlet mall is selling special windproof ski jackets in different styles for men and women. For each of the styles, there are 4 colors (purple, teal, yellow, blue) in each of 3 sizes (small, medium, large).
A) How many different jacket options are there?
2) For one Website, passwords consist of five characters: three digits from 0 to 9, followed by two letter from A to Z.
A) How many different passwords are possible?
8) A website password consists of any 7 letters followed by any 2 digits.
A) How many passwords are possible?
9) Suppose a password consists of 4 letters and 1 digit in any order. Letters can be repeated within a password. How many passwords are possible?
solve!
11) Suppose a brochure was sent to every U.S. Senator who is a Democrat or a man. How many brochures were sent so that nobody received two brochures?
https://docs.google.com/document/d/1weWJVYeJcMQ8EK62PuRAYx-9Z47da3fk49JbiJZuvy4/edit?usp=sharing
1) Suppose a password consists of only 2 characters: one letter from A to D, followed by one digit from 0 to 2. How many different passwords are possible?
solve!
10) The first digit of an area code cannot be 0 or 1, since these digits indicate special numbers for the phone company. How many different area codes are possible?
solve!
4) A password consists of six characters - four digits from 0 to 9, followed by two letters from A to Z. how many different passwords are possible?
solve!
5) How many phone numbers can be created with a 974 area code if there are no restrictions on the digits?
solve!
6) If a city has four available area codes, how many different phone numbers would be available in the city?
solve!
7) Consider a password that consists of just two characters. One character is a letter from A to C and the other is a digit from 0 to 4. The two characters can be in either order: letter-digit, or digit-letter. How many possible passwords are there?
solve!
12) In New York, an Empire license plate has 7 characters - 3 letters followed by 4 numbers.
C) Suppose New York started their license plates with ACA-1000 and only counted up for letters and numbers, leaving out "I," "O," and "Q" to avoid confusion with 1 and 0. How many plates are possible?
