Mathematics 9709 · AS & A Level · Permutations and combinations

Permutations and combinations — practice question

The local sports club has 26 members, including Mr and Mrs Khan and their son Abad. A party is being organised for Abad’s birthday, but the venue can accommodate only 20 guests.
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How many different ways are there to select the 20 people from the 26 club members, if Mr and Mrs Khan and Abad have to be included?

Worked solution & mark scheme

This 2-mark question has a full step-by-step worked solution and mark scheme. One marking point: Combination $^{23}C_{17}$ (or any other correct equivalent combination expression).

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