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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?

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?

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Pls Give the Complete Solution of the following,I put the example to help.Thank You:>

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
Transcribed Image Text: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
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.
Transcribed Image Text: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.
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