Question

Si n(A ∩ B) = 20, n(A) = 46, n(B) = 72, calcular n(A Δ B)
Ayuda por favor , es urgente.

Answer 1

Saber que

n(A Δ B) = n(A U B) - n(A ∩ B)

n(A U B) = n(A) + n(B) - n(A ∩ B)

Calculando  n(A U B)

n(A U B) = n(A) + n(B) - n(A ∩ B)

n(A U B) = 46 + 72 - 20

n(A U B) = 98

Calculando n(A Δ B)

n(A Δ B) = n(A U B) - n(A ∩ B)

n(A Δ B) = 98 - 20

n(A Δ B) = 78