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1. 4 points Notes Ask Your If people are classified by height into 7 different c

ID: 3196451 • Letter: 1

Question

1. 4 points Notes Ask Your If people are classified by height into 7 different catagories, by weight into 5 different catagories, by eye color into 2 catagories, by sex into 2 catagories, and by ethnic group into 6 catagories, then how many different categories of people are there if people are classified according to all of the above? My Notes Ask Your Teacher 2. -12 point:s Kathy's grandmother took Kathy shopping and they found 4 dresses, 4 sweaters, and 2 blouses that Kathy likes (a) If her grandmother decides to buy her one of each (one dress, one sweater, and one blouse) for her birthday, how many possibilities are there for the artidles of clothing her grandmother buys? (b) If her grandmother decides, instead, to buy only one article of clothing from among the things Kathy likes, then how many choices does the grandmother have? 3. -14.5 points My Notes Ask Your You wish to create a 4 digit number. The only digits available are 2,3,4,7, and 8, but you can use multiple copies of these digits if you wish. How many different 4 digit numbers can be formed if the only digits available for use are 2,3,4,7, and 8? 4. -4 points My Notes Ask Your Teache You are taking a test with 6 questions. For each question there are two choices: true and false. You forgot to study for the test so you are just going to guess the answers. (a) You will guess an answer for each of the 6 questions. In how many different ways could you fill out the answer sheet? (b) Your teacher gives you the option of leaving ay ( of questions unanswered if you are unsure of the answer. In how many different ways can you fill out the answer sheet if you have the option of leaving as many questions as you like unanswered?

Explanation / Answer

1.

Height = 7 categories

Weight = 5 categories

Eye color = 2 categories

Sex = 2 categories

Ethnicity = 6 categories

total categories = 7 x 5 x 2 x 2 x 6 = 840 categories