A multiple choice test has two parts. There are 4^12 ways to answer the 12 questions in Part A. There are 4^5 ways to answer the
5 questions on part B. How many ways are there to answer all 17 questions? If you guess each answer, what is the probability you will get them all right
Using the Fundamental Counting Theorem and the probability concept, it is found that:
There are ways to answer all 17 questions.
probability you will get them all right.
<h3>What is the Fundamental Counting Theorem?</h3>
It is a theorem that states that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
<h3>What is a probability?</h3>
A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem:
The questions in part A and in part B are independent.
For the 12 questions in part A, there are ways to answer, hence .
For the 5 questions in part B, there are ways to answer, hence .
Then:
There are ways to answer all 17 questions.
Only one outcome in which all the guesses are correct, hence:
sister ,we can use the law of sines. since we have the angle of elevation and assume the wall makes a right angle with the ground, our angle opposite the ground is 180-[90+23=67