The Skill Atlas

CountingCNT18 skills

Listing without missing anything, then the principles that replace the listing.

• FoundationAssumed by everything above it.

  • ○Not startedCNT-01Systematic listing10
  • ○Not startedCNT-02Tree diagrams2
  • ○Not startedCNT-04Casework14

• CoreThe working middle of the exam.

  • ○Not startedCNT-03The multiplication principle11
  • ○Not startedCNT-05Arrangements of a few objects6
  • ○Not startedCNT-06Selections of a few objects5
  • ○Not startedCNT-07Counting paths on a grid1
  • ○Not startedCNT-08Handshakes and pairs5
  • ○Not startedCNT-09Complementary counting8
  • ○Not startedCNT-10Inclusion–exclusion with two sets2
  • ○Not startedCNT-11Counting with restrictions2
  • ○Not startedCNT-12Counting by position (sliding window)4
  • ○Not startedCNT-13Counting shapes hidden inside a figure3
  • ○Not startedCNT-14Counting cubes in a stack, including hidden ones5

• GatewayWhat the 5-point questions actually ask for.

  • ○Not startedCNT-15Counting up to symmetry5
  • ○Not startedCNT-16Overcount, then correct6
  • ○Not startedCNT-17The pigeonhole principle6
  • ○Not startedCNT-18Extremal / worst-case counting4