Let X be a nonempty set and let P(X) denote the collection of all subsets of X. Define
f:X×P(X)→R by
f(x,A)={
1, if‌x∈A
0, if‌x∉A

Then f(x,A∪B) equals

Question

Let X be a nonempty set and let P(X) denote the collection of all subsets of X. Definef:X×P(X)→R byf(x,A)=\{	able 1{,},\if x ∈A;0{,},\if x∉AThen f(x,A∪B) equals

Examsnet · Accepted Answer

Correct Answer is : f(x,A)+f(x,B)−f(x,A)f(x,B)

1,	if‌x∈A∪B
0,	if‌x∉A∪B

if‌x∈A	x∈B
if‌x∈A	x∉B
if‌x∉A	x∈B

KVPY SB SX Exam 2011 Question Paper