Count arrangements with product, sum and restriction rules practice questions | Specialist Mathematics (Year 11, VCE Units 1 & 2)

(a)1 mark

Select the valid counting plan

Multiply the position choices within each of the 2 formats, then add the format counts because exactly one format is used

Add the listed format counts even if the same outcome can be recorded in more than one format

Multiply the counts for the different formats because all formats are included in one outcome

(b)2 marks

Complete the count for each listed case

Format B count Format A count

(c)1 mark

Give the whole-number count of arrangements

Total number of arrangements Format: whole number