Question

please answer this question​

Answer 1

Answer:

Answer is 10

hope this helps you

Answer 2

${\bold{\underline{\underline{Answer:}}}}$

${\bold{\therefore X\cap Y=10}}$

${\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\underline {\underline\bold{Given : }} \\ \implies X \cup Y = 50 \: elements \\ \\ \implies X = 28 \: elements\\ \\ \implies Y = 32 \: elements \\ \\ \underline {\underline\bold{To \: Find : }} \\ \implies X \cap Y = ?$

• According to given question :

$\text{Finding \: Total \: no. of \: elements} \\ \implies X + Y = 28 + 32 \\ \\ \implies X + Y = 60 \:elements \\ \\ \bold{Condition \:for \: union \: of \: elements : } \\ \text{In \: union \: of \: sets \:we \: take \: one } \\ \text{element \: from \: common \: elements} \\ \text{from \: both \: the \: sets \: and} \\ \text{uncommon \: elements} \\ \\ \bold{for \: example : } \\ \text{A = 1,2,3,4 \: \: \: \: \: \: \: \: \: B = 1,2,3}\\ \\ \implies A \cup B = (1,2,3,4) \cup(1,2,3) \\ \\ \implies A \cup B = (1,2,3,4) \\ \\ \text{According \: to \: question : } \\ \\ \bold{Non \: common \: sets : } \\ \implies X + Y - (X \cup Y) \\ \\ \implies X \cap Y= 60 - 50 \\ \\ \implies X\cap Y = 10$