Permutation and combination

2008 RJC P2 Q6 A group of $12$ students consisting of $6$ girls and $6$ boys are to be seated at tables A, B and C, each with $4$ chairs

2008 TPJC P2 Q7 A rotating platform with identical sectors is installed in a carnival. Each sector can take up to two persons. A group of $4$ friends and $3$

2020 TMJC P2 Q6 At Lalaland pre-school, Josh and his eight other classmates sit around a triangular table as shown in the diagram below. (i) Find the number of ways

2018 MJC P2 Q5 Kiki and Lala host a dinner for four other married couples. They sit at a rectangular table with Kiki and Lala at the left and right

2017 Specimen Paper P2 Q5 This question is about six couples. Each couple consists of a husband and wife. The $12$ people visit a theatre, and sit in a row

2021 ASRJC P2 Q7 Four friends went for a Christmas party, each bringing a present for gift exchange. During the gift exchange, the presents were randomly distributed, such that each

2018 YJC P2 Q7 Ten cards each has a single letter or a digit written on them. The letters are A, B, C, D, E and the digits are $1$,

2021 EJC P2 Q8 Mei Li has $3$ types of gemstones comprising $6$ Emeralds, $4$ Sapphires and $3$ Labradorites. All the gemstones are of different sizes. (i) Find the number

2021 RI P2 Q8 This question is about arrangements of all eight letters in the word IMMUNITY. (i) Show that the number of different arrangements of the eight letters that