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Lógica matemática/ (P∧Q)∨(¬P∧R)∨(Q∧R)

Expresión (P∧Q)∨(¬P∧R)∨(Q∧R)

El profesor se sorprenderá mucho al ver tu solución correcta😉

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    Solución

    Ha introducido [src] 
    (p∧q)∨(q∧r)∨(r∧(¬p))
    (p∧q)∨(q∧r)∨(r∧¬p)\left(p \wedge q\right) \vee \left(q \wedge r\right) \vee \left(r \wedge \neg p\right)
    Solución detallada
    (p∧q)∨(q∧r)∨(r∧¬p)=(p∧q)∨(r∧¬p)\left(p \wedge q\right) \vee \left(q \wedge r\right) \vee \left(r \wedge \neg p\right) = \left(p \wedge q\right) \vee \left(r \wedge \neg p\right)
    Simplificación [src]
    (p∧q)∨(r∧¬p)\left(p \wedge q\right) \vee \left(r \wedge \neg p\right) 
    (p∧q)∨(r∧(¬p))
    Tabla de verdad 
    +---+---+---+--------+
| p | q | r | result |
+===+===+===+========+
| 0 | 0 | 0 | 0      |
+---+---+---+--------+
| 0 | 0 | 1 | 1      |
+---+---+---+--------+
| 0 | 1 | 0 | 0      |
+---+---+---+--------+
| 0 | 1 | 1 | 1      |
+---+---+---+--------+
| 1 | 0 | 0 | 0      |
+---+---+---+--------+
| 1 | 0 | 1 | 0      |
+---+---+---+--------+
| 1 | 1 | 0 | 1      |
+---+---+---+--------+
| 1 | 1 | 1 | 1      |
+---+---+---+--------+
    FNDP [src]
    (p∧q)∨(r∧¬p)\left(p \wedge q\right) \vee \left(r \wedge \neg p\right) 
    (p∧q)∨(r∧(¬p))
    FND [src]
    Ya está reducido a FND
    (p∧q)∨(r∧¬p)\left(p \wedge q\right) \vee \left(r \wedge \neg p\right) 
    (p∧q)∨(r∧(¬p))
    FNCD [src]
    (p∨r)∧(q∨¬p)\left(p \vee r\right) \wedge \left(q \vee \neg p\right) 
    (p∨r)∧(q∨(¬p))
    FNC [src]
    (p∨r)∧(p∨¬p)∧(q∨r)∧(q∨¬p)\left(p \vee r\right) \wedge \left(p \vee \neg p\right) \wedge \left(q \vee r\right) \wedge \left(q \vee \neg p\right) 
    (p∨r)∧(q∨r)∧(p∨(¬p))∧(q∨(¬p))
    © Sr Examen – Калькулятор