A-LevelMathematicsProbability and statistics9709/52 · Oct/Nov 2021 · Q46 Marks
In how many different ways can the 9 letters of the word TELESCOPE be arranged?
- (a)In how many different ways can the 9 letters of the word TELESCOPE be arranged?[2]
- (b)In how many different ways can the 9 letters of the word TELESCOPE be arranged so that there are exactly two letters between the T and the C?[4]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2021). The mark or mark type is shown in brackets.
- [M1] 9!/e!, e = 2, 3
- [A1] 60 480
- [M1] 7!/3! × k seen, k an integer > 0.
- [M1] m!/n! × 2 × q 7 < m < 9, 1 ≤ n ≤ 3, 1 < q < 8 all integers.
- [M1] m!/n! × p × 6 7 ≤ m ≤ 9, 1 ≤ n ≤ 3, 1 < p < 2 all integers. (Accept 3P2 for 6)
- [A1] 10 080 Exact value.
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