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A-LevelMathematicsProbability and statistics9709/62 · Feb/Mar 2018 · Q66 Marks

The digits 1, 3, 5, 6, 6, 6, 8 can be arranged to form many different 7-digit numbers.

(i)How many of the 7-digit numbers have all the even digits together and all the odd digits together?[3]
(ii)How many of the 7-digit numbers are even?[3]

Mark scheme

Marking points from the official mark scheme (Feb/Mar 2018). The mark or mark type is shown in brackets.

[M1] 3! oe seen multiplied by integer ≥ 1, no addition
[M1] 4!/3! oe seen multiplied by integer > 1, no addition
[A1]
[B1] 7!/3! -
[B1] 6!/2! OE
[B1]

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About this question

Topic: Probability and statistics, A-Level Mathematics (syllabus 9709). Structured question, 6 marks.
Source: A-Level Mathematics, Feb/Mar 2018 Paper 6 Variant 2, question 6.

Questions and mark schemes are from past examination papers and remain the copyright of the exam board. How Oracle Prep builds its content

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