Jacob is taking a multiple-choice test with 4 questions. For each question there are 3 different answers: A, B, and C. Jacob forgot study for the test so he is just going to guess the answers. (a) Jacob will guess an answer for each of the 4 questions. In how many different ways could he fill out the answer sheet? 12 (b) Jacob's teacher gives the students in the class the option leaving any (or all) of questions unanswered if a student unsure of the answer. In how many different ways can Jacob fill out the answer sheet if he has the option of leaving as many questions as he likes unanswered? 15

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
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Jacob is taking a multiple-choice test with 4 questions. For each question there are 3 different answers: A, B, and C. Jacob forgot to study for the test so he is just going to guess the answers.
(a) Jacob will guess an answer for each of the 4 questions. In how many different ways could he fill out the answer sheet?
12
(b) Jacob's teacher gives the students in the class the option of leaving any (or all) of questions unanswered if a student is unsure of the answer. In how many different ways can Jacob fill out the answer sheet if he has the option of leaving as
many questions as he likes unanswered?
15
Transcribed Image Text:Jacob is taking a multiple-choice test with 4 questions. For each question there are 3 different answers: A, B, and C. Jacob forgot to study for the test so he is just going to guess the answers. (a) Jacob will guess an answer for each of the 4 questions. In how many different ways could he fill out the answer sheet? 12 (b) Jacob's teacher gives the students in the class the option of leaving any (or all) of questions unanswered if a student is unsure of the answer. In how many different ways can Jacob fill out the answer sheet if he has the option of leaving as many questions as he likes unanswered? 15
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