In agroup of people, each of whom speaks atleast one of the languages English,Tamil,Malayalam 31 speak E,36 speak T,27 speak - Maths - Sets

Question

In agroup of people, each of whom speaks atleast one of the
languages English,Tamil,Malayalam 31 speak E,36 speak T,27 speak M
&10 speakE&T,9 speak E&M,11 speak T&M What is the
minimum number of people in the group

Tushar Kohli · Accepted Answer

For

to be minimum, possible value of x will have to be zero Hence minimum number of people in the group = 64 Therefore,

= 64

In agroup of people, each of whom speaks atleast one of the languages English,Tamil,Malayalam.31 speak E,36 speak T,27 speak M &10 speakE&T,9 speak E&M,11 speak T&M .What is the minimum number of people in the group.