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lord [1]
3 years ago
9

If a multiple choice test consists of ​questions, each of which with of which only 1 is​ correct, ​(a) in how many different way

s can a student check off one answer to each​ question? ​(b) in how many ways can a student check off one answer to each question and get all the answers​ wrong? ​(a) The test can be answered in 25 ways.
Mathematics
1 answer:
oksian1 [2.3K]3 years ago
3 0

Answer:

Step-by-step explanation:

From the given information.

suppose a multiple choice test consists of 5 questions, each with 4 possible answers of which 1 is correct.:

So, we can now suggest that a person can answer each question in 4 different ways given that there are 5 different questions.

Thus, the  students can check off one answer to each question in 4^5 \ different \  ways

= 4 × 34 × 4 × 4 × 4

= 1024 different ways.

From the 4 possible answers, since 1 will be correct, definitely 3 other answers will be incorrect.

Thus, the number of ways a student can check off one answer to each question and get all the answers wrong is = 3⁵

= 3 × 3 × 3 × 3 × 3

= 243 ways

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