Question

if A and B are 2 sets n(A)=17,n(B)=23,n(AUB)=38.Find number of elements in exactly one of A and B​

Answer 1

Answer:

Only A = 15

Only B = 21

Step-by-step explanation:

n(AUB) = n(A) + n(B) - n(A∩B)

38 = 17 + 23 - n(A∩B)

n(A∩B) = 40-38

n(A∩B) = 2

Only A = n(A) - n(A∩B) = 17-2 = 15

Only B = n(B) - n(A∩B) = 23-2 = 21