Sadiakhan6212 Sadiakhan6212
  • 15-07-2020
  • Mathematics
contestada

If P and Q are two sets such that P U Q has 40 elements,P has 22 elements and Q has 28 elements,how many elements does P intersection Q have

Respuesta :

ujalakhan18
ujalakhan18 ujalakhan18
  • 15-07-2020

Answer:

[tex]\boxed{10 elements}[/tex]

Step-by-step explanation:

[tex]n(P) = 22[/tex]

[tex]n(Q) = 28\\[/tex]

n(P∪Q) = 40

Using Formula

n(P∪Q)=n(P)+n(Q)−n(P∩Q)

For, n(P∩Q), it becomes

=> n(P∩Q)=n(P)+n(Q)−n(P∪Q)

So,

=> n(P∩Q) = 22+28-40

=> n(P∩Q) = 50-40

=> n(P∩Q) = 10 elements

Answer Link
charliemountford
charliemountford charliemountford
  • 15-07-2020
10 elements together
Answer Link

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