Question

In a comection with a criminal investigation

the police question of men allot whom are
tall, slim or bald, There are 32 tall men , 20
who are tall and slim 23 who are tall
and bald, 24 who are slim and bold
6 who are slim but not tall a bold
and a who are tall but not slim or bald.
Find the number of men questioned who have
all three characteristics
b) work out the number who are bald but
not tall a silm.​

Answer 1

We have

n[T]=4+20-x+x+23-x

32=47-x

x=47-32

x=15

so

the number of men questioned who have

the number of men questioned who haveall three characteristics is 15.

again

n[S]=6+20-x+x+24-x=50-x=50-15=35

again

we have

n[U]=n[T]+n[s]+N only [ B]

54=32+35+N only [ B]-n[T and S]

N only [ B]=54-67+20=7

who are bald but

who are bald butnot tall a slim is 7.