A survey of a sample of 25 new cars being sold in a car store was conducted to understand which of the three options popular, air conditioning (A), radio (R) and electric window (V) were installed....

A survey of a sample of 25 new cars being sold in a car store was conducted to understand which of the three options popular, air conditioning (A), radio (R) and electric window (V) were installed. The survey found that:

• 15 had air conditioning (A), 5 had A and V

• 12 had radio (R), 9 had A and R, 3 had all options

• 11 had electric glass (V), 4 had R and V

Find the number of cars that had:

(a) only V;

(b) only A1;

(c) only R,

(d) R and V, but not A;

(e) A and R, but not V;

(f) only one of the options ;

(g) at least one option;

(h) none of the options;