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SatisfiabilityCount—Wolfram Language Documentation

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  • SatisfiableQ
  • SatisfiabilityInstances
  • TautologyQ
  • BooleanTable
  • BooleanConvert
• Related Guides
  • Boolean Computation

SatisfiabilityCount[bf]

counts the number of possible combinations of variable values that yield True when supplied as arguments to the Boolean function bf.

SatisfiabilityCount[expr,{a₁,a₂,…}]

counts the number of possible combinations of the a_i that make the Boolean expression expr be true.

Count the number of cases for which yields true:

This corresponds to the number of times True appears in the truth table:

Count the number of truth cases for a pure Boolean function:

The corresponding table:

Count the truth instances in an expression with 2000 variables:

Compute the probability for an event as the ratio of true cases to total cases:

The probabilities for some events:

The probability that between 20 and 40 variables out of 100 are true:

Show that :

Count the number of truth instances for all Boolean functions of two variables:

Three variables:

Four variables:

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