2023HSCShort answer

Q11 (b)

2 marks

Question

In how many different ways can all the letters of the word CONDOBOLIN be arranged in a line?

Try the question before revealing the answer.

Solution

Criteria	Marks
Provides correct solution	2
Divides $10!$ by a relevant number, or equivalent merit	1

Sample answer:

10 letters, 3 Os and 2 Ns

\therefore\quad \frac{10!}{3!2!}=302\,400

Supplied marking guidance · human reviewed

Compare this with your working, not only your final sentence.

Syllabus alignment

Combinatorics

Working with CombinatoricsApply permutations, combinations and counting principles to problems involving arrangements and selections.

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