There are 28 players in a national
football team. 14 play midfield and
defence, 15 play defence and attack
and 3 play midfield only. the number
of players who play attack only is
twice those who play defence only, and
the number who play defence
is equal to those who play attack. If
18 play midfield represent the
information on a venn diagram.
Find
i. how many play at most two games
ii. how many play neither attack nor
defence
iii. how many play either midfield or
attack.
Out of 6 mathematicians and 7 physicists
a committee consisting of 3 mathematicians
and 3 physicists is to be formed. In how
many ways can this be done if two
particular mathematicians cannot be
on the commitee?