A-LevelMathematicsProbability and statistics9709/51 · May/June 2022 · Q16 Marks
Find the number of different arrangements of the 8 letters in the word DECEIVED in which all three Es are together and the two Ds are together.
- (a)Find the number of different arrangements of the 8 letters in the word DECEIVED in which all three Es are together and the two Ds are together.[2]
- (b)Find the number of different arrangements of the 8 letters in the word DECEIVED in which the three Es are not all together.[4]
Mark scheme
Marking points from the official mark scheme (May/June 2022). The mark or mark type is shown in brackets.
- [M1] k! where k = 5, 6 or 7 Condone x 1 OE
- [A1] 120
- [M1] 8! / (a!b!) , a=1,2 b=1,3 a≠ b
- [M1] 6! / c! , c = 1,2 seen in an addition/subtraction
- [M1] 3360 - 360
- [A1] 3000
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