dylancabellon7077 dylancabellon7077
  • 03-10-2019
  • Mathematics
contestada

Find the value of n(A) if n(B) = 32, n(A n B) = 17, and n(A U B) 50. n(A)=|(Type a whole number.)

Respuesta :

InesWalston
InesWalston InesWalston
  • 03-10-2019

Answer:

The no of elements in set A 'n(A)' = 35

Step-by-step explanation:

From the basic relation between two sets A and B we have

[tex]n(A\cup B)=n(A)+n(B)-n(A\cap B)[/tex]

Since it is given that

[tex]n(A\cup B)=50[/tex]

[tex]n(B)=32[/tex]

[tex]n(A\cap B)=17[/tex]

Applying the given values in the above relation we get

[tex]50=n(A)+32-17\\\\\therefore n(A)=50-32+17\\\\\therefore n(A)=35[/tex]

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