Thread: Combinatorics Problems - great fun

A club consists of 25 married couples. Determine how many ways a committee of 7 people can be formed from these couples if:

a) there are no restrictions (1 mark)

b) there are exactly 5 men on the committee (2 marks)

c) at least one person must be a man (2 marks)

d) there must be at least 3 women and at least 2 men (4 marks)


*Do not simplify your answers.

This is the answer to part d.


Can you expand on that to answer the others?

what does the stuff infront of the brackets mean? so k will equal 3 then.. wouldn't it also equal 2