- Jordan has seven t-shirts, four skirts, twenty pairs of socks, and four pairs of shoes in their closet at the end of the month.
Part 1: Why the methods used in the previous two problems would be inefficient in determining the number of different outfits Jordan could wear.
Fundamental Principle of Counting, determine how many outfits Jordan could wear.
How many phone numbers can be made if all the digits (that is, numbers 0-9 which is 10 digits) need to be filled in and any single digit number (0-9) can be used for any digit?
How many phone numbers can be made if the first digit must be 2, the second digit must be a number in the range 4-6, the third digit must be a number in the range 7-9, and the last seven digits can be any single digit number 0-9?
There is a bag full of 30 different colored and/or patterned marbles. How many different three marble combinations can you have if you pull marbles balls out of the bag?
Part 2: Write down (in factorial form) the total number of possible combinations there are if you draw all the balls out of the bag one at a time.
to generate a solution
a solution
- You are designing a flag for a nation in the "Civilizations" video game. The flag will have three stripes -- top, middle, and bottom. You have six colors to choose from. How many different ways are there to design the flag? This is a numerical question -- enter the number of different ways.arrow_forwardThe Moore family received 31 pieces of mail on April 27. The mail consisted of letters, bills, magazines, and ads. How many letters did they receive if they received three more bills than magazines, the same number of letters as magazines, and five more ads than bills? Keypad Answer Keyboard Shortcuts lettersarrow_forwardAt the World Goldendoodle Championship, 16 doodles compete to see who is the fluffiest. The top five contests receive prizes and cash: 1st = $300,000 2nd = $100,000 3rd = $50,000 4th = $25,000 5th = $10,000 Obviously, being first is better than being fifth. How many ways can the 16 doodles make the top five?arrow_forward
- A ballroom dance couple has learned 11 different routines and needs to pick 6 of them to prepare for an upcoming local competition. How many different ways could they choose which dances to prepare?arrow_forwarda little league manager has 12 children on her team. How many ways can she form a 9- player batting order?arrow_forward6. Elaine is making 20 pinecone wreaths to sell at a fair. She needs 13 pinecones for each wreath. How many pinecones does Elaine need in all?arrow_forward
- Bruce, Clark and Diana found a box of old baseball cards in the attic. They sold 131 cards to a collector and then split the remaining cards equally among themselves. Then, Bruce gave 1/4 cards to Evan. If Evan was given 5 cards, how many cards were in the box when it was found? (Hint: work backwards)arrow_forwardHow many different ways can you pack five t-shirts for your trip if you have twelve clean shirts that you like from which to choose? Is the answer 11,880?arrow_forwardBart has six books: a novel, a biography, a dictionary, a self help book, a statistics text book, and a comic book. Bart's bookshelf has room for only three of the books. In how many ways can Bart choose and order three books?arrow_forward
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning