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Kim is taking a math class, and the teacher gives a multiple choice te

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Bunuel
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Kim is taking a math class, and the teacher gives a multiple choice te [#permalink] New post   25 Jun 2019, 02:25
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Kim is taking a math class, and the teacher gives a multiple choice test consisting of 8 questions. If each question has 5 answer choices, and Kim answers every question, in how many different ways can she complete the test?

A. 40
B. 400
C. 5^8
D. 8^5
E. 40^40
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C
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Re: Kim is taking a math class, and the teacher gives a multiple choice te [#permalink] New post   25 Jun 2019, 02:32
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Bunuel wrote:
Kim is taking a math class, and the teacher gives a multiple choice test consisting of 8 questions. If each question has 5 answer choices, and Kim answers every question, in how many different ways can she complete the test?

A. 40
B. 400
C. 5^8
D. 8^5
E. 40^40


Each Question has 5 options
All 8 questions are answered

--> So, Total number of ways = 5*5*5*5*5*5*5*5 = 5^8 ways

IMO Option C

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Re: Kim is taking a math class, and the teacher gives a multiple choice te [#permalink] New post   25 Jun 2019, 02:36
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Bunuel wrote:
Kim is taking a math class, and the teacher gives a multiple choice test consisting of 8 questions. If each question has 5 answer choices, and Kim answers every question, in how many different ways can she complete the test?

A. 40
B. 400
C. 5^8
D. 8^5
E. 40^40


Each question Kim can answer in 5 ways. The number of different ways is 5*5*.... 8 times IMO C 5^8
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Re: Kim is taking a math class, and the teacher gives a multiple choice te [#permalink] New post   25 Jun 2019, 02:54
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Q1 _ _ _ _ _

Q2 _ _ _ _ _

Q3 _ _ _ _ _

And so on, from this pattern, it appears like Kim has 5 choices per answer (5C1) and has to answer 8 questions.
Thus, she has 5C1 * 8 choices = 5*5*5*5*5*5*5*5 = 5^8.

I would go with answer choice C.
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Re: Kim is taking a math class, and the teacher gives a multiple choice te [#permalink] New post   25 Jun 2019, 02:57
there are 8 questions and each question can be answered in 5 ways. Therefore 5x5x5x5x5x5x5x5=5^8 IMO option C
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Re: Kim is taking a math class, and the teacher gives a multiple choice te [#permalink] New post   26 Jun 2019, 02:41
Bunuel wrote:
Kim is taking a math class, and the teacher gives a multiple choice test consisting of 8 questions. If each question has 5 answer choices, and Kim answers every question, in how many different ways can she complete the test?

A. 40
B. 400
C. 5^8
D. 8^5
E. 40^40


for each question total options available is 5 so for 8 questions Kim has 5^8 options
IMO C
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Re: Kim is taking a math class, and the teacher gives a multiple choice te [#permalink] New post   15 Aug 2023, 00:02
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Re: Kim is taking a math class, and the teacher gives a multiple choice te [#permalink]
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