1 of 8 0-day streak

Count arrangements with product, sum and restriction rules

Question 1 of 8

No calculator

Arrange 4 of 4 distinct roles in labelled positions

A role cannot be used in more than one position

(a)1 mark

Select the valid counting plan

Keep the original number of available objects at every position, so a placed object may be used again

Add the choices for the successive positions to find the number of arrangements

Multiply the choices for 4 labelled positions from 4 distinct objects, reducing the available set after each placement

(b)4 marks

Complete the number of available choices for each position

Position 4 choices Position 3 choices Position 2 choices Position 1 choices

Give the whole-number count of arrangements

Total number of arrangements Format: whole number