9709 · topic questions
Permutations and combinations
12 past-paper questions on Permutations and combinations
Find the probability that a randomly chosen arrangement of the 10 letters in the word REGENERATE is one in which the consonants…
Practise the full question →How many different arrangements are there of the 10 letters in the word REGENERATE in which the 4 Es are together and the 2 Rs…
Practise the full question →Find the number of different ways in which the 6 musicians can be selected if there must be at least 3 guitarists, at most 2…
Practise the full question →On another occasion a group of 5 will be chosen from the 21 students. The group must contain at least 2 violinists, at least 1…
Practise the full question →Find the number of different arrangements of the 8 digits in which there is a 2 at the beginning, a 2 at the end and the three 4s…
Practise the full question →Four letters are selected at random from the 9 letters in the word INTELLECT. (c) Find the percentage of the possible selections…
Practise the full question →How many different arrangements are there of the 9 letters in the word INTELLECT in which there is a T at each end and the two Es…
Practise the full question →Find the number of different arrangements of the 8 letters in the word KANGAROO in which the two As are together and the two Os…
Practise the full question →Three bands will be selected from the original group of 20 musicians. Each band will consist of 3 guitarists, 1 pianist and 1…
Practise the full question →Find the number of different ways in which the 10 letters in the word AMALGAMATE can be arranged so that there is an M at the…
Practise the full question →Find the number of different ways in which the 10 letters in the word AMALGAMATE can be arranged with exactly 3 letters between…
Practise the full question →Five letters are selected from the 10 letters in the word AMALGAMATE. Find the number of different selections in which the five…
Practise the full question →
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Permutations and combinations (9709) past-paper questions — marked instantly
These are real Cambridge Mathematics past-paper questions on Permutations and combinations. Open one, attempt it, then upload your working — MarkScheme grades it against the official 9709 mark scheme so you see exactly where the marks are won and lost on this topic.
Frequently asked questions
- How many Permutations and combinations questions are there for 9709?
- This page collects 12 recent Cambridge Mathematics (9709) past-paper questions tagged to Permutations and combinations. Each links straight to instant marking against the official 9709 scheme.
- How are Permutations and combinations answers marked?
- Type or photograph your working and MarkScheme scores it against the real 9709 mark scheme for this topic — method, accuracy and any band descriptors — so you see exactly where the marks are.
- Where can I learn Permutations and combinations first?
- Start with the free Mathematics lesson on Permutations and combinations, then come back and drill past-paper questions under timed conditions.