CAIE S1 2020 March — Question 1 3 marks

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2020
SessionMarch
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicCombinations & Selection
TypeBasic committee/group selection
DifficultyEasy -1.2 This is a straightforward combination problem requiring only one calculation: choosing 4 more people from 38 remaining members (since Ranuf and Saed are already assigned). It tests basic understanding of combinations with a simple constraint, requiring minimal problem-solving beyond recognizing the setup as C(38,4).
Spec5.01b Selection/arrangement: probability problems
1 The 40 members of a club include Ranuf and Saed. All 40 members will travel to a concert. 35 members will travel in a coach and the other 5 will travel in a car. Ranuf will be in the coach and Saed will be in the car. In how many ways can the members who will travel in the coach be chosen?
Question 1:
AnswerMarks Guidance
AnswerMarks Guidance
\(^{38}C_r\) or \(^nC_{34}\)M1 Either expression seen OE, no other terms, condone \(\times 1\)
\(^{38}C_{34}\)A1 Correct unsimplified OE
\(73815\)A1 If M0, SCB1 \(^{38}C_{34} \times k\), \(k\) an integer
3 
## Question 1:

| Answer | Marks | Guidance |
|--------|-------|----------|
| $^{38}C_r$ or $^nC_{34}$ | M1 | Either expression seen OE, no other terms, condone $\times 1$ |
| $^{38}C_{34}$ | A1 | Correct unsimplified OE |
| $73815$ | A1 | If M0, **SCB1** $^{38}C_{34} \times k$, $k$ an integer |
| | **3** | |

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1 The 40 members of a club include Ranuf and Saed. All 40 members will travel to a concert. 35 members will travel in a coach and the other 5 will travel in a car. Ranuf will be in the coach and Saed will be in the car.

In how many ways can the members who will travel in the coach be chosen?\\

\hfill \mbox{\textit{CAIE S1 2020 Q1 [3]}}
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