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How many different selections of 5 marbles include at least 4 marbles of the same colour?
Mathematics 9709 · AS & A Level · Permutations and combinations
Permutations and combinations — practice question
A bag contains 12 marbles, and no two are the same size. 8 of the marbles are red and 4 of the marbles are blue.
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correct method that recognises and works through combinations, e.g. $^8C_x\times{}^4C_y$ in valid cases” …
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