A-LevelMathematicsProbability and statistics9709/53 · Oct/Nov 2025 · Q36 Marks
Find the number of different arrangements of the 9 letters in the word DAFFODILS in which there is a D at each end and the two Fs are not next to each other.
- (a)Find the number of different arrangements of the 9 letters in the word DAFFODILS in which there is a D at each end and the two Fs are not next to each other.[3]
- (b)Find the probability that a randomly chosen arrangement of the 9 letters in the word DAFFODILS has exactly 4 letters between the two Ds.[3]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2025). The mark or mark type is shown in brackets.
- [M1] 7!/2! seen alone, not multiplied or divided in a calculation nor subtracted from another value.
- [M1] ...-6!, l = 7, 8 or 9, m = 1 or 2
- [A1] 1800
- [M1] Accept 7!/2! × 4 or 10080 alone or as the numerator or denominator of a fraction.
- [M1] Accept 90720 as denominator in a fraction.
- [A1] WWW.
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