(main)[4]
In how many different ways can $7$ finalists be chosen if there have to be at least $2$ pianists, at least $1$ guitarist and more violinists than guitarists?
Mathematics 9709 · AS & A Level · Permutations and combinations
Permutations and combinations — practice question
A music competition features $8$ pianists, $4$ guitarists and $6$ violinists. $7$ of these musicians are to be chosen to progress to the final.
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Accurate unsimplified combinations products for the cases, for example $^8C_2 \times {}^4C_2 \times {}^6C_3$” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI