a multiple choice test consists of five questions, each of which has three choices. each question has exactly one correct answer.
how many ways are there to fill out the answer sheet so that four answers are correct and one is incorrect?

There are 10 ways to fill out the sheet with 4 and 1 incorrect

Step-by-step explanation:

There are 2 wrong choices each question and one correct (C, W1, W2)

1-  A) W1   B) C   C) C  D) C   E) C

2-  A) W2   B) C   C) C  D) C   E) C

3-  A) C   B) W1   C) C  D) C   E) C

4-  A) C   B) W2   C) C  D) C   E) C

5-  A) C   B) C   C) W1  D) C   E) C

6-  A) C   B) C   C) W2  D) C   E) C

7-  A) C   B) C   C) C  D) W1   E) C

8-  A) C   B) C   C) C  D) W2   E) C

9-  A) C   B) C   C) C  D) C   E) W1

10-  A) C   B) C   C) C  D) C   E) W2

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.