Power set - list members - Numbas at mathcentre.ac.uk

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Lois Rollings

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Lois Rollings 7 years, 5 months ago

Created this as a copy of Basic Set Theory: power set.

Name	Status	Author	Last Modified
Basic Set Theory: power set	Ready to use	Daniel Mansfield	29/09/2019 02:45
Power set - list members	draft	Lois Rollings	04/04/2020 15:07
Simon's copy of Basic Set Theory: power set	draft	Simon Thomas	07/03/2019 14:21
Basic Set Theory: power set - TEMP REPLACEMENT	draft	Sean Gardiner	02/06/2019 08:41

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Question statement

The power set of $A$ , written $P(A)$ , is the set of all subsets of $A$ .

Give any introductory information the student needs.

			Name	Type	Generated Value

A	list	[ 1, 0 ]
listB	list	[ 7, 5 ]
PB	set	Set of 4 items
B	set	set(7,5)

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
deal(2)

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `list`

[ 1, 0 ]

This variable doesn't seem to be used anywhere.

Advice

The power set of $\left\{\var{listB[0]},\var{listB[1]}\right\}$ is

$\left\{\left\{\right\}, \left\{\var{listB[0]}\right\},\left\{\var{listB[1]}\right\}, \left\{\var{listB[0]},\var{listB[1]}\right\}\right\}$ .

You can obtain the power set by finding all the subsets of all possible sizes. Since we have a set of size two then the subsets have length at most two. These are

the subset of length zero: $\left\{\right\}$
the subsets of length one: $\left\{\var{listB[0]}\right\},\left\{\var{listB[1]}\right\}$
the subset length two: $\left\{\var{listB[0]},\var{listB[1]}\right\}$ .

Note that the length zero subset is always the empty set, and the largest subset is the set itself.

Give a worked solution to the whole question.

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There was an error which means the tests can't run:

Numbas Error: Part a: This part contains an invalid variable replacement for adaptive marking.

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Mathematical expression
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This question is used in the following exam:

Cartesian products and power sets by Lois Rollings in Algebra 1 - Possibilities.

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Power set - list members

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Taxonomy: mathcentre

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Taxonomy: Context

Contributors

History

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Checkpoint description

Lois Rollings 7 years, 5 months ago

Error in variable testing condition

Error

Warning

Generated value: `list`

Parts

Mathematical expression

Advanced settings

Checking accuracy

Variable value generators

Pattern restriction

Variables

String restrictions

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Error

Power set - list members

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Lois Rollings 7 years, 5 months ago

Error in variable testing condition

Error

Warning

Generated value: list

Parts

Mathematical expression

Advanced settings

Checking accuracy

Variable value generators

Pattern restriction

Variables

String restrictions

Generated value: `list`