Question 77
Every year a large number of students take part in the International Mathematical Olympiad. One twelfth of them win a gold medal, another sixth win a silver medal, a further quarter win a bronze medal, and the remaining half win a handshake. If we meet a group of six randomly chosen participants, what is the probability that it consists of two gold medallists, two silver medallists and two handshake winners?
(A) About $40 \%$
(B) About $4 \%$
(C) About $0.4 \%$
(D) About $0.04 \%$
(E) About $0.004 \%$.
(A) About $40 \%$
(B) About $4 \%$
(C) About $0.4 \%$
(D) About $0.04 \%$
(E) About $0.004 \%$.