CAIE S1 2021 November — Question 1 2 marks

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2021
SessionNovember
Marks2
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicCombinations & Selection
TypeBasic committee/group selection
DifficultyEasy -1.2 This is a straightforward combinations question requiring only one step: recognize that 3 people are fixed, leaving 17 to be chosen from the remaining 23 members (C(23,17)). It's simpler than average A-level questions as it involves direct application of a single formula with no problem-solving or multi-step reasoning required.
Spec5.01a Permutations and combinations: evaluate probabilities
1 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. 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?
Question 1:
AnswerMarks Guidance
AnswerMarks Guidance
\(^{23}C_{17}\)M1 \(^{23}C_x\) or \(^yC_{17}\) or \(^zC_6\), \(x\), \(y\) or \(z\) are integers, no \(+\), \(-\), \(\times\) or \(\div\)
\(100947\)A1 CAO 
## Question 1:

| Answer | Marks | Guidance |
|--------|-------|----------|
| $^{23}C_{17}$ | M1 | $^{23}C_x$ or $^yC_{17}$ or $^zC_6$, $x$, $y$ or $z$ are integers, no $+$, $-$, $\times$ or $\div$ |
| $100947$ | A1 | CAO |

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1 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.

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?\\

\hfill \mbox{\textit{CAIE S1 2021 Q1 [2]}}
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