Question 1
SEAMO self-study edition 2027; not an official 2027 paper. Original source years are retained. 25 questions, 90 minutes; Q1–10: 3 points, Q11–20: 4 points, Q21–25: 6 points, total 100. Original response types and all subparts are preserved. Verified is an editorial convention; source defects, necessary assumptions and unresolved mathematical uncertainty are disclosed.
Two white, three black and four grey marbles are shared equally among nine students. Find the number of ways to distribute them so that Bran and Sansa receive the same colour and Arya receives a grey marble.
Counting convention: students are distinct and marbles of the same colour are indistinguishable.
Two white, three black and four grey marbles are shared equally among nine students. Find the number of ways to distribute them so that Bran and Sansa receive the same colour and Arya receives a grey marble.
Counting convention: students are distinct and marbles of the same colour are indistinguishable.