Demystifying - The product rule for counting

Drills

Counting combined choices with the product rule for counting.

Author note — to cover (Higher)

Higher only, N5's braced clause. Multiplying choice counts across independent stages: codes, menus, outfits; arrangements without repetition where choices shrink slot by slot; restrictions like a fixed first digit. Factorial and nCr notation are A level; Foundation counts by exhaustive listing on systematic-listing. (N5)

  • Fluency — multiplying choices across independent slots: menus, codes and outfits (4 questions).
  • Application — arrangements and selections without repetition, the factor shrinking slot by slot (4 questions).
  • Catch — repeats-forbidden against repeats-allowed on near-identical prompts, where the memorised formula picks the wrong count (4 questions).

The test

—coming soon—

Where to go next

The method this drill practises is taught on The product rule for counting.