Permutation and combination

2022 EJC J2 MYE P2 Q8

Home 2022 EJC J2 MYE P2 Q8 The Frisbee CCA has $12$ students, comprising $6$ male students and $6$ female students. (a) Find the number of ways of grouping the

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2022 ASRJC J2 MYCT P2 Q3

Home 2022 ASRJC J2 MYCT P2 Q3 A group of $3$ sisters, $2$ brothers and $5$ other boys attends a meeting in a room. (i) Find the number of ways

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2022 RI J2 CT Q8

Home 2022 RI J2 CT Q8 A group of hikers is to be chosen to represent three hiking teams in an annual hiking challenge. The group is to consist of

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2022 CJC J2 MYE P2 Q7

Home 2022 CJC J2 MYE P2 Q7 Jovan has the following letter cards that are identical except for the printed letters. These cards are arranged in a row. (i) Find

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2022 NYJC J2 CT P2 Q6

Home 2022 NYJC J2 CT P2 Q6 Each of nine cards is marked with the digits $1$ to $9$ such that each card carries a different digit. Find the number

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2015 RVHS MYE Q8

2015 RVHS MYE Q8 The diagram below shows a pin-board with $90$ pins on a wooden board. The horizontal and vertical distances between the pins are equal. A rubber band

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2013 MI P2 Q6

2013 MI P2 Q6 Six identical boxes are arranged in $3$ rows as shown in the following diagram. Sandra is given $1$ green, $2$ blue and $3$ red balls. The

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2008 TJC P2 Q5

2008 TJC P2 Q5 Farmers Alex, Ben and Charlie are discussing their plans for a piece of land which is divided into $9$ plots as numbers in the diagram below.

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2011 SRJC MYE Q11

2011 SRJC MYE Q11 (a) In how many ways can three identical prizes be distributed among six students, if each student can get any number of prizes? [4] (b) Two

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