Permutation and combination

2014 HCI P2 Q5 [Modified]

2014 HCI P2 Q5 [Modified] (i) A group of $5$ boys and $5$ girls are to be seated in a row of $10$ adjacent seats to watch a performance. Find

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2013 PJC P2 Q6

2013 PJC P2 Q6 Find the number of five-letter code-words that can be formed from the letters of the word MATHEMATICS. [4] Suggested Video and Handwritten Solutions Continue reading

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2020 TJC P2 Q7

2020 TJC P2 Q7 The diagram shows a $3times 3$ grid of $9$ cells, numbered $1$ to $9$. The nine letters T, T, T, T, J, C, C, C, C

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2020 HCI P2 Q7

2020 HCI P2 Q7 A team of $15$ students was selected for an outdoor education trip. One student volunteered to be the trip leader while another volunteered as the assistant

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2022 HCI P2 Q8

2022 HCI P2 Q8 A school canteen committee consists of $4$ parents, $2$ student leaders and $4$ teachers, chosen from $10$ parents, $5$ student leaders and $8$ teachers. (a) There

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2022 SAJC P2 Q5

2022 SAJC P2 Q5 A group of $10$ people consists of $9$ men and $1$ woman. Find the number of ways which the group can be seated at a round

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2022 DHS P2 Q6

2022 DHS P2 Q6 (a) Find the number of ways the letters of the word ABDUCTIONS can be arranged in a circle such that the letters A, O and U

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2022 TMJC P2 Q7

2022 TMJC P2 Q7 (a) A team of $5$ people from a family of $7$ adults and $3$ children is to be selected for a competition. Find the number of

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2022 YIJC P2 Q6

2022 YIJC P2 Q6 A group of $12$ people consist of $5$ men and $7$ women. One of the women is the wife of one of the men. (a) How

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