A-LevelMathematicsProbability and statistics9709/51 · May/June 2020 · Q26 Marks
Find the number of different arrangements that can be made from the 9 letters of the word JEWELLERY in which the three Es are together and the two Ls are together.
- (a)Find the number of different arrangements that can be made from the 9 letters of the word JEWELLERY in which the three Es are together and the two Ls are together.[2]
- (b)Find the number of different arrangements that can be made from the 9 letters of the word JEWELLERY in which the two Ls are not next to each other.[4]
Mark scheme
Marking points from the official mark scheme (May/June 2020). The mark or mark type is shown in brackets.
- [1] 6!
- [1] 720
- [1] Total number: 9!/(3!2!) (30240)
- [1] Number with Ls together = 8!/3! (6720)
- [1] Number with Ls not together = 9!/(3!2!) - 8!/3! = 30240 - 6720
- [1] 23 520
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