Specialist Maths Unit 1 Combinatorics Year 11 Lesson Bundle Topic 1

This powerpoint is on Unit 1 Topic 1 of the 2025 Specialist Maths Syllabus for QLD. It covers the topic of Combinatorics and focusses the following dot points:

•Use the inclusion-exclusion principle formulas to determine the number of elements in the union of two and the union of three sets.

•|A∪B|=|A|+|B|−|A∩B|

•|A∪B∪C|=|A|+|B|+|C|−|A∩B|−|A∩C|−|B∩C|+|A∩B∩C|

•Use the multiplication principle.

•Use the addition principle.

•Define and use permutations.

•Use factorial notation.

•Use the notation nPr to represent the number of ways of selecting r objects from n distinct objects where order is important.

•nPr=“n!” /"(n-r)!" =n×(n−1)×(n−2)×…×(n−r+1)

•Solve problems that involve permutations.

•Solve problems that involve permutations with restrictions including repeated objects, specific objects grouped together and selection from multiple groups.

•Define and use combinations.

•Use the notation (nr) and nCr to represent the number of ways of selecting r objects from n distinct objects where order is not important.

•nCr=(nr)=n!r!(n−r)!

•Solve problems that involve combinations.

•Solve problems that involve combinations with restrictions including specific objects grouped together and selection from multiple groups.

•Model and solve problems that involve permutations and combinations including probability problems, with and without technology.