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How many different ways are there to choose the club committee if it has to contain at least 2 swimmers and at least 2 divers?
Mathematics 9709 · AS & A Level · Permutations and combinations
Permutations and combinations — practice question
The Splash Club has 26 members, including 16 swimmers and 10 divers. No person belongs to both the swimmer and diver groups. The committee is formed from 6 members chosen out of these 26.
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “A correct expression of the form ${16\choose x}{10\choose y}$, with $x+y=6$, matched to a suitable case” …
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