Answered: Learning Task B: Solve the following…

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

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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Concept explainers

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.

Question

100%

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

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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