Number of multisets from a given set,

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Newcastle University Mathematics and Statistics

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Newcastle University Mathematics and Statistics 9 years, 3 months ago

Created this.

Name	Status	Author	Last Modified
Number of multisets from a given set,	draft	Newcastle University Mathematics and Statistics	20/11/2019 14:50
Número de subconjunto de un conjunto dado	Ready to use	Luis Hernandez	02/12/2020 15:42
Simon's copy of Number of multisets from a given set,	draft	Simon Thomas	10/06/2019 11:23
Autohändler	Ready to use	Andreas Vohns	02/12/2020 15:42

Question statement

A car dealership employs $\var{p}$ salespeople. A salesperson receives £100 for each car they sell.

Yesterday, the dealership sold $\var{b}$ cars.

In how many ways could this happen?

(Consider two scenarios different if they result in different bonus payments).

Give any introductory information the student needs.

			Name	Type	Generated Value

p	integer	5
b	integer	9
tb	integer	9
ans	number	715

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(5..10)

JME function reference

Description

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

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Generated value: `integer`

→ Used by:

This variable doesn't seem to be used anywhere.

Parts

Gap-fill
1. Gap Number entry
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Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

Number of ways = Unnamed gap

Advice

We are not interested in the order in which the cars were sold, but in the number of cars each salesperson sold.

Therefore we are interested in the number of $\var{b}$ -multisets from a set of size $\var{p}$ .

So the number of possibilities is given by:

$\binom{\var{p+b-1}}{\var{b}}=\var{ans}$

Give a worked solution to the whole question.

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Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet

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Taxonomy: mathcentre

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Checkpoint description

Newcastle University Mathematics and Statistics 9 years, 3 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Error

Number of multisets from a given set,

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Newcastle University Mathematics and Statistics 9 years, 3 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`