A multiple choice test consists of nine questions, each of which has three choices. Each question has exactly one connect answer. How many ways are there to fill out the answer sheet so that eight answers are connect and one is incorrect? (Assume that a choice is made for each question.)

There are 18 ways to fill out the answer sheet so that eight answers are correct and one is incorrect.

Step-by-step explanation:

Consider the provided information.

A multiple choice test consists of nine questions, each of which has three choices.

We need to find the number of ways so that eight answers are correct and one is incorrect.

There is only one correct answer and for incorrect answer we have only 2 choices because 1 choice is correct.

Thus the number of possible ways are:

(2*1*1*1*1*1*1*1*1) + (1*2*1*1*1*1*1*1*1) + (1*1*2*1*1*1*1*1*1) + (1*1*1*2*1*1*1*1*1) + (1*1*1*1*2*1*1*1*1) + (1*1*1*1*1*2*1*1*1) + (1*1*1*1*1*1*2*1*1) + (1*1*1*1*1*1*1*2*1) + (1*1*1*1*1*1*1*1*2) = 2+2+2+2+2+2+2+2+2 = 18

There are 18 ways to fill out the answer sheet so that eight answers are correct and one is incorrect.