Permutation and combination

2021 NYJC P2 Q7 This question is about the arrangement of the nine letters in the word PINEAPPLE. (i) Find the number of ways of arranging all nine letters of

2021 VJC P2 Q5 Find the number of ways in which all twelve letters of the word MISSPELLINGS can be arranged if (i) both the I’s are placed at the

2021 RVHS J2 CT Q9 An ice-cream café sells a mega sundae in which the customer will order $5$ scoops of ice-cream. The staff will arrange the $5$ scoops on

2021 RI J2 CT Q9 A card game called ‘Happy Family’ is played with $28$ cards, consisting of $7$ sets of $4$ cards. Each set consists of a father, a

2021 MI MYE P2 Q6 Five girls and three boys stand in a queue in random order. Find the probability that (i) all three boys stand next to each other,

2021 JPJC J2 MYE P2 Q10 In a certain Junior College, each class is assigned to one of the four Houses. The Captain, the Vice-Captain and the Secretary are the

2021 EJC J2 MYE P2 Q9 Mary holds a party for her son’s birthday. She has invited her son’s friends consisting of $6$ boys and $4$ girls to the party.

2021 DHS J2 MYE Q3 [Modified] A group of $10$ people, comprising $5$ males and $5$ females, are arranged in a row to hold a long banner for a photo