1. If there are 8 distinct points on a plane with no three of which are collinear, how many different line segments can be formed? 2. In a volleyball game, each team must play with all the other teams. How many games will there be? In how many ways can a committee of 5 be selected from 8 persons? In an amateur singing contest, in how many ways can a singer choose 2 songs from 5 songs? 4. 3.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 10AEXP
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PLEASE ANSWER 1 AND 2 if you cant answer ALL. thank you

Answer each of the following.
1. If there are 8 distinct points on a plane with no three of which are
collinear, how many different line segments can be formed?
. In a volleyball game, each team must play with all the other teams.
How many games will there be?
In how many ways can a committee of 5 be selected from 8
persons?
In an amateur singing contest, in how many ways can a singer
choose 2 songs from 5 songs?
4.
3.
Transcribed Image Text:Answer each of the following. 1. If there are 8 distinct points on a plane with no three of which are collinear, how many different line segments can be formed? . In a volleyball game, each team must play with all the other teams. How many games will there be? In how many ways can a committee of 5 be selected from 8 persons? In an amateur singing contest, in how many ways can a singer choose 2 songs from 5 songs? 4. 3.
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