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Must pass K out of N subjects or checks (quorum and floor rule)

Evaluate multi-part exams, vendor scorecards, or board quorums requiring at least K passing scores plus a minimum floor on every item.

Replace combinatorial OR chains with COUNTIF >= K

Writing OR(AND(...)) to test "any 4 out of 5 modules >= 70" would require 5 separate 4-way AND clauses (and 15 clauses for 4 out of 6!).

COUNTIF(B2:F2, ">=70") >= 4 counts passing modules directly in one step. Pairing it with MIN(B2:F2) >= 50 inside AND enforces a hard safety floor so a single catastrophic 20 cannot be masked by four 90s.

Candidate (A)M1 (B)M2 (C)M3 (D)M4 (E)M5 (F)Outcome
Candidate18275649071Pass (4 >= 70, min 64 >= 50)
Candidate28580429178Fail (min 42 < 50 floor)

K-of-N quorum and minimum-floor formula

Reference threshold cells if pass marks or required counts vary by certification level.

=IF(AND(COUNT(B2:F2)=5, COUNTIF(B2:F2, ">=70") >= 4, MIN(B2:F2) >= 50), "Pass", "Fail")

Simple K-of-N count without a floor

Omit MIN when failed optional modules carry no disqualifying floor.

=COUNTIF(B2:F2, ">=70") >= 4

Inputs and interpretation

The floor rule requires all five scores to be numeric: MIN ignores blanks, so an explicit COUNT guard prevents four passing scores plus a missing score from passing. Validate the score range (for example 0–100). For a variable quorum require integer K between 1 and N. The example illustrates arithmetic, not actual certification or board-governance rules.

Try the example

Use the original values or change them to test your understanding.

Further reading