If a multiple-choice test consists of 5 questions, each with 4 possible answers of which only 1 is correct, (a) in how many different ways 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?

Q: An undergraduate math course gives all the usual letter grades of A, B, C, D, or F. The department…

A: An undergraduate math course gives all the usual letter grades of A, B, C, D or F.

Q: A businessman wanted to compare the level of satisfaction with service for his company (3 options…

A: The variables, in this case, are "level of satisfaction" and "region". As the variables are…

Q: Please help me understand set theory.

A: The set theory is a mathematical theory which includes well-determined collections of…

Q: third step. How many experimental outcomes exist for the entire experiment?  How many ways can…

A: Answer:- Given, An experiment has three steps. Total possible outcomes for first step= 4 Total…

Q: I used to babysit Nikki, who had a lot of Beanie Babies. Every time I came she would tell me which…

A: Introduction: According to the combination rule, if r distinct items are to be chosen from n items…

Q: |(a) How many ways can this be done, if the order of the choices matters? (b) How many ways can this…

A: Letters - A,B,C n= 3 r = 2

Q: Find P(A), given that P(A) 0.493.

A: Given,      P A=0.493

Q: Robert asked 40 students at his school how many television sets they had at their house. The results…

A:

Q: Among nine presidential candidates at a debate, three are Republicans and six are Democrats. In how…

A: Answer :- A) the nine candidates can be lined in =9! Ways  B) Answer :- I take  DDDDDDRRR  is 9C6…

Q: 1. Tina's music library has 72 rock songs and 51 pop songs. She is putting together a playlist of 22…

A: As we are entitled to solve one question at a time, I will answer first question, please submit…

Q: In a survey of 426 people, a pet food manufacturer found that 92 owned a dog but not a cat, 103…

A: Determine how many owned both a cat and dog. From the information, given that   Number of people…

Q: A student must answer 3 out of 5 essay questions on a test. In how many different ways can the…

A: A student must answer 3 out of 5 essay questions on a test. In how many different ways can the…

Q: Many young men in North America and Europe (but not in Asia) tend to think they need more muscle to…

A: It is given that,Sample mean = 2.35.Population standard deviation, sigma is 2.5.The sample size, n…

Q: A survey of 1500 commuters in New York City showed that 1130 take the subway, 690 take the bus, and…

A:

Q: Now look at the variable DIFFERENCE in the data file “Fuel Efficiency.” If there is no difference…

A: Fill-Up No. Computer Driver Difference   1 41.5 36.5 5   2 50.7 44.2 6.5   3 36.6 37.2 -0.6…

Q: Sam enrolled in a Calculus course by mistake, and only discov- ered this after the end of classes.…

A: Solution

Q: We survey 200 students, and ask each whether they like donuts, pizza, and/or tacos. Every student…

A:

Q: test has three parts. Part A consists of 7 true/false questions. Part B consists of 4 multiple…

A: Part A  consist 7 true/false questions Part B consist 4 mcq with 6 options We have to calculate 1 :…

Q: A survey of 1900 commuters in New York City showed that 1120 take the subway, 620 take the bus, and…

A: Introduction:  Consider the commuters to be a sample of universal set and similarly for the subway…

Q: In how many ways can a student choose to do 5 questions out of 11 on a test?

A: The question is based on permutation. We need to find the number of ways a student can choose 5…

Q: school gives 6 different subject awards (math, history, English, etc.) to a graduating class of 82…

A: we have to find now. of ways to give award

Q: How many ways can 4 people sit in a row of 7 chairs? The number of ways 4 people can sit in a row of…

A: Given: number of chair (n)=7 number of people (x)=4

Q: A test has many multiple-choice items, each with four answer choices. A student receives 1 point for…

A:

Q: The first box contains 5 apples, the second box contains 7 apples, the third box contains 9 apples…

A:

Q: In a survey of 426 people, a pet food manufacturer found that 143 owned a dog but not a cat, 59…

A:

Q: In the Summer Olympics, there were eight runners in the final of the men's 100 meter dash. This race…

A: There are six non-USA runners, and we want to find the number of possible podium finishes that don't…

Q: A test has three parts. Part A consists of 7 true/false questions. Part B consists of 4 multiple…

A: Given, A test has three parts. Part A consists of 7 true/false questions. For part A, each question…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.