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This is the A-Level Statistics question paper for Test 1. Use it for exam practice under timed conditions. Time allowed: 1 hour.
A' LEVEL
STATISTICS
PERMUTATIONS AND COMBINATIONS TEST 1
TIME: 1 hour
45 marks
Answer all questions.
[If a numerical answer cannot be given exactly, and the accuracy required is not specified in the question, then in the case of an angle it should be given correct to the nearest degree, and in other cases it should be given to 2 significant figures.]
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Sharewell B. C
1. (a) In how many ways can seven people sit at a round table?
[2]
(b) What is the probability that a husband and wife sit together?
[3]
2. In how many ways can the letter of the word FCETIOUS be arranged in a line?
[3]
3. On a shelf there are four mathematics books and eight English books.
a) If the books are to be arranged so that the mathematics books are together, in how many ways can this be done?
[4]
b) What is the probability that all the mathematics books will not be together?
[4]
4. The letters of the word PROBABILITY are arranged at random. Find the probability that two Is are separated.
[4]
5. How many 9-letter 'words' can be formed from the word HYPERBOLA if the letters $\mathrm{P}, \mathrm{E}$ and R must be together.
[5]
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Res: MUTARE
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