Learning Task B: Solve the following permutation and combination problems. Write your complete solution. 1. In how many ways can 5 bicycles be parked if there are 7 available parking spaces? 2. Eight students are lined up to be seated. In how many ways can 4 of them be seated in a row of 4 chairs? 3. From a club of 10 students, in how many ways can a group of three members be selected? 4. A medical researcher from the Generics Pharmacy needs 6 people to test the effectiveness of an experimental drug. If 13 people have volunteered for the test, in how many ways can 6 people be selected? 5. Mrs. Dela Cruz selected 8 students in the entire Grade 10 to represent in Math culminating activity. List down the ways Mrs. Dela Cruz can select 2 students to work in the activity.

Learning Task B: Solve the following permutation and combination problems. Write your complete solution. 1. In how many ways can 5 bicycles be parked if there are 7 available parking spaces? 2. Eight students are lined up to be seated. In how many ways can 4 of them be seated in a row of 4 chairs? 3. From a club of 10 students, in how many ways can a group of three members be selected? 4. A medical researcher from the Generics Pharmacy needs 6 people to test the effectiveness of an experimental drug. If 13 people have volunteered for the test, in how many ways can 6 people be selected? 5. Mrs. Dela Cruz selected 8 students in the entire Grade 10 to represent in Math culminating activity. List down the ways Mrs. Dela Cruz can select 2 students to work in the activity.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.5: Counting Principles

Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...

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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

Please answer no.2-5 with complete solution,I put the example to help.Thank you:>

Learning Task B: Solve the following permutation and combination problems. Write your complete solution.
1. In how many ways can 5 bicycles be parked if there are 7 available parking spaces?
2. Eight students are lined up to be seated. In how many ways can 4 of them be seated in a row of 4 chairs?
3. From a club of 10 students, in how many ways can a group of three members be selected?
4. A medical researcher from the Generics Pharmacy needs 6 people to test the effectiveness of an
experimental drug. If 13 people have volunteered for the test, in how many ways can 6 people be
selected?
5. Mrs. Dela Cruz selected 8 students in the entire Grade 10 to represent in Math culminating
activity. List down the ways Mrs. Dela Cruz can select 2 students to work in the activity.

Problem Solving on Permutation:
1.
A group has to select a moderator and a secretary from 5 members in the group. How many arrangements
of group leaders are possible?
Solution:
Since the moderator and the secretary are considered different, their order is important and this is an
n!
example of problem about permutation. So the formula is n Pr =
(п-r)!
5!
5P2 =
(5–2)!
5 •4 •3!
3!
= 20 possible arrangements

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