Specialist Mathematics · Unit 1 · Combinatorics · Permutations (ordered arrangements) and combinations (unordered selections)
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A school committee must select 4 members from 9 available volunteers to organise a charity event. The order in which the members are selected does not matter. Which expression correctly represents the number of different committees that can be formed?
A school committee is selecting 5 members from a group of 12 volunteers. Calculate the number of different ways this selection can be made, given that the order of selection does not matter. Show your use of the combination formula and simplify your answer.
A quality control officer at a manufacturing plant must select a sample of items to test from three production lines. The table below shows the number of items produced by each line during a particular shift. Determine the number of different samples possible if the officer must select exactly 3 items from Line A, 2 items from Line B, and 4 items from Line C.