4. 2/4 points I Previous Answers My Notes Ask Your You are taking a test with 6

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4. 2/4 points I Previous Answers My Notes Ask Your 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 willguess an answer for each of the 6 questions. In how many different ways could you fill out the answer sheet? 64 (b) Your teacher gives you the option of leaving any (or a 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? My Notes Ask Your Teache 5. 2/4 points1I Previcus Answers You are taking a multiple-choice test with 4 questions. For each question there are 4 different answers: A, B, C, and D. 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 4 questions. In how many different ways could you fill out the answer sheet? 256 (b) Your teacher gives you the option of leaving any (or al) 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? 6. 3/4.5 points | Previous Answers My NotesAsk Your Teacher (a) Anna's husband is making her a burger. He asks her if she wants her burger with or without cheese. How many options does Anna have? (b) Charlie buys a hot dog from a street vendor. For no extra charge he can choose to have his hot dog with or without onions, and with or without relish. How many options does Charlie have? (c) Ed is going to order a pizza. His local pizza shop has a special which allows him to choose from among 6 different toppings. He can choose as many of these 6 toppings as he likes. How many different options does Ed have?

Explanation / Answer

4) b) each question can be marked as true or false or left blank. So total options are 3

number of different ways = 36 = 2187

5) b) each question can be marked as A, or B or C or D or left blank. So total options are 5.

number of different ways = 54 = 625

6) number of different options does Ed have = 6C0 + 6C1 + 6C2 + 6C3 + 6C4 + 6C5 + 6C6 = 1 + 6 + 15 + 20 + 15 + 6 + 1 = 64

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