KayAnne998
KayAnne998 KayAnne998
  • 08-06-2021
  • Mathematics
contestada

Three sets have 5, 10, 15 elements, respectively. How many elements can their union and intersection have?​

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 13-06-2021

Answer:

[tex]Union = 15[/tex]

Step-by-step explanation:

Given

[tex]n(A) = 5; n(B) = 10; n(C) = 15[/tex]

Solving (a): Possible union elements

This is the represented by element with the largest number of the sets

i.e.

[tex]Union = 15[/tex]

Solving (b): Possible intersection elements

This is the represented by element with the least number of the sets

i.e.

[tex]Intersection = 5[/tex]

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