Problema Solution

There are 3 people and they have 2 drinks and 4 snacks each and wish to trade with each other How many combinations can you have

Answer provided by our tutors

there are total of 2*3 = 6 drinks and 3*4 = 12 snacks.


we need to group them in 2 drinks and 4 snacks thus there are:


we use combinations since the order is not important


C(6, 2)*C(12, 4) = (6!/((2!(6-2)!))(12!/(4!(12 - 4)!)


C(6, 2)*C(12, 4) = 15*495


C(6, 2)*C(12, 4) = 7425


we subtract 1, the start combination and get 7425 - 1 = 7426 possible combinations.