Use the Basic Counting Law, Permutations, or Combinations to answer the following: 1. a group of...
Use the Basic Counting Law, Permutations, or Combinations to answer the following:
1. a group of 3 students is to be selected from a group of 12 students to take part in a class in cell biology.
a.)in how any ways can this be done?
b.) in how many ways can the group which will not take part be chosen?
Homework Answers
Here order of selection is not important, so we will use combination
a) Number of ways to select 3 students out of 12 = 12C3 = 12! / (3! * (12 - 3)!) = 220
b) Number of ways to select 9 students out of 12 = 12C9 = 12! / (9! * (12 - 9)!) = 220
Add Answer to:
Use the Basic Counting Law, Permutations, or
Combinations to answer the following:
1. a group of...
10 Q100 Combinations and Permutations Directions: Apply the combination formula to solve the problems below. Each answer must be an integer. Do not use scientific notation. 2 points each. Problem...
10 Q100 Combinations and Permutations Directions: Apply the combination formula to solve the problems below. Each answer must be an integer. Do not use scientific notation. 2 points each. Problem 1: A group of 20 people are carpooling in an 7 passenger van. How many different way can a group of 7 be selected. Problem 2: In a class of 13 students, how many ways can a club of 6 students be arranged? Problem 3: Problem 2) 14 students put...
Answer the following question using arrangements with repetition, permutations, or combinations. Be sure to explain why...
Answer the following question using arrangements with repetition, permutations, or combinations. Be sure to explain why the particular counting technique applies to the problem. How many different eighteight-digitdigit passwords can be formed from the numbers zero to eightnumbers zero to eight if repetition is not allowed? Determine the appropriate counting technique. Choose the correct answer below. A. Permutations should be used because we make selections from a group of choices. B. Permutations should be used because no item may be...
of the following counting problems call for counting combinations ow many ways can a five card...
of the following counting problems call for counting combinations ow many ways can a five card poker hand be solected from a standard a. deck of 52 cards ? ifteen women are trying out for parts in a production of Snow White. In hovw many ways can three different women be selected to play Snow White, her evi step mother and the Wicked Witch ? b. F c. Twenty people have volunteered to participate in psychology experiments In how many...
For each of the following situations, explain why the combinations rule or the permutations rule should be used. (a) D...
For each of the following situations, explain why the combinations rule or the permutations rule should be used. (a) Determine the number of different groups of 5 items that can be selected from 12 distinct items. Use the combinations rule, since only the items in the group is of concern. Use the combinations rule, since the number of arrangements within each group is of interest. Use the permutations rule, since the number of arrangements within each group is of interest. Use...
A committee of 4 students is to be selected from 11 students in a fraternity. a....
A committee of 4 students is to be selected from 11 students in a fraternity. a. In how many ways can this be done? b. In how many ways can the group that will not take part be chosen? a. The number of ways to form a 4-student committee is A committee of 4 students is to be selected from 11 students in a fraternity. a. In how many ways can this be done? b. In how many ways can...
Answer the following question using arrangements with repetition, permutations, or combinations. Be sure to explain why...
Answer the following question using arrangements with repetition, permutations, or combinations. Be sure to explain why the particular counting technique applies to the problem. How many different four character passwords can be formed from the uppercase letters of of the alphabet if repetition is not allowed? Determine the appropriate counting technique. Choose the correct answer below.
10. Combinations In doing problems a - d below, use the combinations formula and calculator to...
10. Combinations In doing problems a - d below, use the combinations formula and calculator to evaluate each combination. SHOW SOME WORK for each problem Remember that each answer should be a WHOLE number. a. CS A bicycle shop owner has 12 mountain bicycles in the showroom. The owner wishes to select 5 of them to display at a bicycle show. How many different ways can a group of 5 be selected? SHOW SOME WORK. Remember that your answer should...
1. A State issues car license plates with three letters followed by three numbers (for example,...
1. A State issues car license plates with three letters followed by three numbers (for example, FGH831 or BBB222). How many different license plates are possible? (Note that letters or numbers may repeat in the license plate. Hint: Use the Fundamental Counting Rule for this question.) There are five students who are interested in presenting their final project to the class, but there is only time for three presentations. The five students are Amy, Bob, Chun, Dan and Ed. 2....
What is the main difference between a situation in which the use of the permutations rule...
What is the main difference between a situation in which the use of the permutations rule is appropriate and one in which the use of the combinations rule is appropriate? Both permutations and combinations count the number of groups of r out of n items. Combinations count the number of different arrangements of rout of n items, while permutations count the number of groups of r out of n items. Permutations count the number of different arrangements of r out...
Question 1 160 pts Question 1. A class consists of 4 boys and 5 girls. Answer...
Question 1 160 pts Question 1. A class consists of 4 boys and 5 girls. Answer the following questions: (a) In how many different ways can they be arranged along a line such that the boys are all together and the girls are also all together? (b) In how many different ways can the class be arranged along a circle? (c) In how many different ways can a group of 4 students be selected from the class such that there...
10 Q100 Combinations and Permutations Directions: Apply the combination formula to solve the problems below. Each answer must be an integer. Do not use scientific notation. 2 points each. Problem 1: A group of 20 people are carpooling in an 7 passenger van. How many different way can a group of 7 be selected. Problem 2: In a class of 13 students, how many ways can a club of 6 students be arranged? Problem 3: Problem 2) 14 students put...
of the following counting problems call for counting combinations ow many ways can a five card poker hand be solected from a standard a. deck of 52 cards ? ifteen women are trying out for parts in a production of Snow White. In hovw many ways can three different women be selected to play Snow White, her evi step mother and the Wicked Witch ? b. F c. Twenty people have volunteered to participate in psychology experiments In how many...
A committee of 4 students is to be selected from 11 students in a fraternity. a. In how many ways can this be done? b. In how many ways can the group that will not take part be chosen? a. The number of ways to form a 4-student committee is A committee of 4 students is to be selected from 11 students in a fraternity. a. In how many ways can this be done? b. In how many ways can...
10. Combinations In doing problems a - d below, use the combinations formula and calculator to evaluate each combination. SHOW SOME WORK for each problem Remember that each answer should be a WHOLE number. a. CS A bicycle shop owner has 12 mountain bicycles in the showroom. The owner wishes to select 5 of them to display at a bicycle show. How many different ways can a group of 5 be selected? SHOW SOME WORK. Remember that your answer should...
1. A State issues car license plates with three letters followed by three numbers (for example, FGH831 or BBB222). How many different license plates are possible? (Note that letters or numbers may repeat in the license plate. Hint: Use the Fundamental Counting Rule for this question.) There are five students who are interested in presenting their final project to the class, but there is only time for three presentations. The five students are Amy, Bob, Chun, Dan and Ed. 2....
What is the main difference between a situation in which the use of the permutations rule is appropriate and one in which the use of the combinations rule is appropriate? Both permutations and combinations count the number of groups of r out of n items. Combinations count the number of different arrangements of rout of n items, while permutations count the number of groups of r out of n items. Permutations count the number of different arrangements of r out...
Question 1 160 pts Question 1. A class consists of 4 boys and 5 girls. Answer the following questions: (a) In how many different ways can they be arranged along a line such that the boys are all together and the girls are also all together? (b) In how many different ways can the class be arranged along a circle? (c) In how many different ways can a group of 4 students be selected from the class such that there...
Most questions answered within 3 hours.
-
The area of an elastic circular loop decreases at a constant
rate, dA/dt = −6.60×10−3 m2/s...
asked 2 minutes ago -
The denaturation of proteins can be described by the
equilibrium
F⇌U
where F and U represent...
asked 1 hour ago -
Please answer what the maximum and minimum force is, and the
angle on the ion is...
asked 1 hour ago -
implement a program that reads a number of rows and a symbol.
The program will draw...
asked 1 hour ago -
Assume that when adults with smartphones are randomly selected,
45% use them in meetings or classes....
asked 1 hour ago -
Determine the number of formula units of
Na2SO4 and moles of oxygen contained in 8.11
moles...
asked 1 hour ago -
Explain in steps on the following code
What would be the output when executed
using System;...
asked 2 hours ago -
Given the information in the table, which of the following
statements is CORRECT?
Stock A
Stock...
asked 2 hours ago -
Write MARIE assembly language programs that do the following:
Write a program that inputs an integer...
asked 2 hours ago -
Explain an understanding of services and protocols.
Explain the job of DNS.
Explain the three email...
asked 2 hours ago -
(As soon as possible) Balance each of the following equations
according to the half-reaction method:
H2O2(aq)...
asked 2 hours ago -
A thin rod with a mass of 3.5kg and a length L=1.5 m is oriented
horizontally....
asked 2 hours ago