Question

Out of a group of 70 people, 37 people like Hindi movies & 52 likes English movies & each person likes at least one of the two movies. Find the number of people who like: a) Both movies. b) Only English movie. (Please do it in set formulae or methods, as this is a set chapter sum [Venn diagram])

Answer 1

n(u)=70
n(h)=37
n(e)=52
n(hUe)=70
n(h&e)=?
n.(e)=?
so
n(h&e)=n(h)+n(e)-n(hUe)
= 37+52-70
=89-70
=18
n.(e)=n(e)-n(h&e)
=53-18
=35