Asked Feb 10, 2019

Each of the 10 questions on a multiple-choice exam has four possible answers. How many different
ways are there for a student to answer the questions? Assume that every question must be answered.


Expert Answer

1 Rating
Step 1

Multiplication rule for counting:

Consider the total number of events in a sequence is n.

The number of different possibilities for each event is k.

Therefore, the total number of possibilities of the sequence is kn.

Step 2

Find the number of different ways for a student to answer the questions:

Let the total number of questions that have to be answered by student is n = 10.

Let the possible number of answers for each questi...


Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in




Related Probability Q&A

Find answers to questions asked by student like you

Show more Q&A add

Q: Quick Start Company makes 12-volt car batteries. After many years of product testing, the company kn...

A: If a random variable x has a distribution with mean µ and standard deviation σ, then the z-score is ...


Q: If one card is randomly selected from a deck of cards, what is the probability of selecting a jack a...

A: Concept of probability:Probability deals with the likelihood of occurrence of a given event. The pro...


Q: Question # 4 Consider a circular table with N > 4 seats. Chris and Sarah are two of N th at ests to ...

A: Given a circular table with N seats (N ≥4). Chris and Sarah are two among the N dinner guests,Let us...


Q: A company is selecting 6 people to be on a committee. There are 32 employees eligible to be on the c...

A: We have given,


Q: Let a and b be two integers. Prove that if a+b is even then a-b is even.

A: Given that a and b are any two integers. We are trying to prove "if a+b is even then a-b is even."


Q: How much do wild mountain lions weigh? Adult wild mountain lions (18 months or older) captured and r...

A: (a) Computation of sample mean and sample standard deviation:The number of samples, n = 6. Using cal...


Q: Three Hatfields and five McCoy's are up for 3 construction jobs in Williamson. What is the probabili...

A: The number of Hatfields = 3The number of McCoy's = 5Total number of construction jobs in wiliamson =...


Q: Given the following logical statements: p: All animals hop. q: Some senators are republicans. (1) Wr...

A: Given p- All animals hopq- Some senators are republicans~q in words : Some senators are not republic...


Q: On four exams,Wallace's grades were 79,93,91 and 68. what grade must he obtain on his fifth exam to ...

A: Let Wallace's grade in the 5th exam be x.