ADRIAN TEACHES A CLASS OF SIX PAIRS OF TWINS. HE WISHES TO SET UP T...

2. Adrian teaches a class of six pairs of twins. He wishes to set up teams

you may make. Marks awarded will depend on the

for a quiz, but wants to avoid putting any pair of twins into the same

team. Subject to this condition:

clarity of your mathematical presentation. Work

in rough first, and then write up your best attempt.

i) In how many ways can he split them into two teams of six?

Do not hand in rough work.

ii) In how many ways can he split them into three teams of four?

• One complete solution will gain more credit than

several unfinished attempts. It is more important