◈ Oracle PrepSign Up Free
A-LevelMathematicsProbability and statistics9709/53 · Oct/Nov 2021 · Q12 Marks

The 26 members of the local sports club include Mr and Mrs Khan and their son Abad. The club is holding a party to celebrate Abad's birthday, but there is only room for 20 people to attend.

  1. (a)In how many ways can the 20 people be chosen from the 26 members of the club, given that Mr and Mrs Khan and Abad must be included?[2]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2021). The mark or mark type is shown in brackets.

  1. [M1] 23Cx or C17 or C6, x, y or z are integers no +, -, × or ÷.
  2. [A1] CAO

Write your answer and get it marked

On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.

Sign up free →

About this question

Topic
Probability and statistics, A-Level Mathematics (syllabus 9709). Structured question, 2 marks.
Source
A-Level Mathematics, Oct/Nov 2021 Paper 5 Variant 3, question 1.

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

Related Mathematics questions

Probability and statisticsFeb/Mar 20179m

Pack A consists of ten cards numbered 0, 0, 1, 1, 1, 1, 1, 3, 3, 3. Pack B consists of six cards numbered 0, 0, 2, 2,…

Probability and statisticsFeb/Mar 201713m

The lengths, in centimetres, of middle fingers of women in Raneland have a normal distribution with mean u and standa…

Probability and statisticsFeb/Mar 20184m

A selection of 3 letters from the 8 letters of the word COLLIDER is made.

IntegrationFeb/Mar 20206m

It is given that ∫⁽³ᵃ⁾ₐ (2/(2x-5)) dx = ln(7/2). Find the value of the positive constant a.

DifferentiationFeb/Mar 20206m

A curve has equation 3x² - y² – 4 ln(2y + 3) = 26. Find the equation of the tangent to the curve at the point (3, −1).

FunctionsFeb/Mar 20209m

Sketch, on the same diagram, the graphs of y = |x + 2k| and y = |2x – 3k|, where k is a positive constant. Give, in t…

← Browse all past-paper questions

© 2026 Oracle Prep