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Professor Easy's final examination has 13 true-false questions followed by 2 multiple-choice questions. In each of the multiple-choice questions, you must select the correct answer from a list of four. How many answer sheets are possible?
My Work:
A) 13x2=26
B) 2x4=8
C) 8+26=32

Respuesta :

pedrocarratore

Answer:

131,072 possible answers

Step-by-step explanation:

For the true-false questions, there are only 2 possible outcomes for each question, since the exam has 13 questions, the number of possible answer sheets for this section of the test is:

[tex]T = 2*2*2*2... = 2^{13}[/tex]

For the multiple-choice questions, there are two questions with four possible outcomes. The number of possible answer sheets for this section of the test is:

[tex]M = 4*4= 4^2[/tex]

Therefore, the number of possible answer sheets (A) for the entire test is given by:

[tex]A= T*M\\A= 2^{13}*4^2\\A=131,072[/tex]

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