1 of 8 0-day streak

Count arrangements with product, sum and restriction rules

Question 1 of 8

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Arrange 4 of 6 distinct labels in labelled positions

A label cannot be used in more than one position

(a)1 mark

Select the valid counting plan

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

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

Multiply the choices for 4 labelled positions from 6 distinct objects, reducing the available set after each placement

(b)4 marks

Complete the number of available choices for each position

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

How many different arrangements are possible?

Total number of arrangements Format: whole number