4.The Director of the sports program at a private university randomly selected 250 students and collected the following data among these students.

53 smoke; 78 drink alcoholic beverages; 58 played same sport; 25 smoke and played same sports; 30 drink alcoholic beverages and played same sport; 28 smoke and drink alcoholic beverages; and 10 did all three.

a)Play some sport but do not smoke or drink alcoholic beverages

b)Play same sport and drink same alcoholic beverages but do not smoke

Solution:

(a)

N=58-25-30+10=13

So 13 Play some sport but do not smoke or drink alcoholic beverages

(b)

N=58-30=28

So 28 Play same sport and drink same alcoholic beverages but do not smoke