May/June 2026 Paper 53

2026 · 6 questions · 17 parts · 50 marks

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Q1
1(a)1(b)1(c)
–/6 mks
Q2
2(a)2(b)
–/6 mks
Q3
3(a)3(b)3(c)
–/8 mks
Q4
4(a)4(b)4(c)
–/9 mks
Q5
5(a)5(b)5(c)
–/11 mks
Q6
6(a)6(b)6(c)
–/10 mks
6(a)Counting Principles CombinatoricsMedium3 marks
Find the number of different arrangements of the 10 letters in the word POSSESSION in which the four Ss are all next to each other and the two Os are not next to each other.
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Number of arrangements
6(b)Counting Principles CombinatoricsMedium3 marks
Find the number of different arrangements of the 10 letters in the word POSSESSION in which the P is at the beginning, the N is at the end and there are exactly four letters between the two Os.
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0 words
Number of arrangements
6(c)Counting Principles CombinatoricsHard4 marks
Five letters are selected from the 10 letters in the word POSSESSION. Find the number of different selections in which the five letters include at least two Ss and at least one O.
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0 words
Number of selections