← 2021 HSC Extension 1 paper Question 11(d)

Variation 3 · answer guide

Combinatorics — Larger pool

Question

From men and women, form a committee of men and women. How many ways?

This practice question was inspired by Question 11(d) in the 2021 NSW HSC Mathematics Extension 1 examination, © NESA. It is an original TestMum variation that practises the same mathematical idea, not an official NESA question.

Step by step

  1. State the final answer clearly in the form the question requested..

Common mistake: changing so many features that the new example no longer tests the same mathematical idea.

Verification: and .

Any mark labels are a TestMum study aid, not an official NESA marking allocation.

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