In a colony, $275$ families buy Tamil newspaper, 150 families buy English newspaper, $45$ families buy Hindi newspaper, $125$ families buy Tamil and English newspapers, $17$ families buy English and Hindi newspapers, $5$ families buy Tamil and Hindi newspapers and $3$ families buy all the three newspapers. If each family buy at least one of these newspapers, then find the number of families buy only one newspaper.

In a colony, $275$ families buy Tamil newspaper, 150 families buy English newspaper, $45$ families buy Hindi newspaper, $125$ families buy Tamil and English newspapers, $17$ families buy English and Hindi newspapers, $5$ families buy Tamil and Hindi newspapers and $3$ families buy all the three newspapers. If each family buy at least one of these newspapers then find number of families buy at least two newspapers.

In a colony, $275$ families buy Tamil newspaper, 150 families buy English newspaper, $45$ families buy Hindi newspaper, $125$ families buy Tamil and English newspapers, $17$ families buy English and Hindi newspapers, $5$ families buy Tamil and Hindi newspapers and $3$ families buy all the three newspapers. If each family buy at least one of these newspapers, then find the total number of families in the colony.

In the diagram, if $n\left(\mathrm{U}\right)=125$, $y$ is two times of $x$ and $z$ is $10$ more than $x$, then find the value of $x, y$ and $z$.

Each student in a class of $35$ plays at least one game among chess, carrom and table tennis. $22$ play chess, $21$ play carrom, $15$ play table tennis, $10$ play chess and table tennis, $8$ play carrom and table tennis and $6$ play all the three games. Draw Venn diagram and find the number of students who play chess and carrom, but not table tennis.

Each student in a class of $35$ plays at least one game among chess, carrom and table tennis. $22$ play chess,$21$ play carrom, $15$ play table tennis, $10$ play chess and table tennis, $8$ play carrom and table tennis and $6$ play all the three games. Find the number of students who play only chess.

Each student in a class of $35$ plays at least one game among chess, carrom and table tennis. $22$ play chess, 21 play carrom, $15$ play table tennis, $10$ play chess and table tennis, $8$ play carrom and table tennis and $6$ play all the three games. Find the number of students who play only carrom.