Find the number of different arrangements that can be made of all 9 letters in the word CAMERAMAN in each of the following cases.

Mark scheme

Marking points from the official mark scheme (Feb/Mar 2019). The mark or mark type is shown in brackets.

1. [M1] 9! alone on numerator, 2! and/or 3! on denominator
2. [A1] Exact value, final answer
3. [B1] Final answer
4. [M1] 7! in numerator, (considering letters not M)
5. [M1] Division by 3! only (removing repeated As)
6. [M1] Multiply by 7 (positions of M-M)
7. [A1] Exact value, final answer
8. [M1] 6! in sum of 2 expressions a6! + b6!
9. [M1] Multiply by 7 in both expressions (positions of M-M)
10. [M1] (C/2! + D/3!) seen (removing repeated As)
11. [A1] Exact value
12. [M1] 7! in numerator (considering 6 letters + block)
13. [M1] Division by 2! and 3! seen in different terms
14. [M1] Summing 5 correct scenarios only
15. [A1] Exact value
16. [B1] Final answer
17. [M1] Either option M M ^ or M ^ ^ correct, accept unsimplified
18. [M1] Add 4 or 5 correct scenarios only
19. [A1] Value must be clearly stated
20. [M1] Either option M M^or M^^ correct, accept unsimplified
21. [M1] Adding 2 or 3 correct scenarios only
22. [A1] Value must be clearly stated