Maths problem!!!!!!!!!!!!!!!!!!!!!!?
During a special morning recess, teachers had a choice of tea, orange juice, coffee, pies, cheese, salami, biscuits and cake. However, teacher could sample only two kinds of food and one drink. How many different combinations of two kinds of food and drink were possible?
could i also have an explanation of how you were able to solve this problem
thanks 
Comments
Okay, so, let's count the number of choices for food, and number of choices for drinks:
Drinks: Tea, Orange Juice, Coffee = 3 choices
Foods: Pies, Cheese, Salami, Biscuits, Cake = 5 choices
So, the first thing is to see, if you were to choose 1 food, how many choices would you have. The answer is obvious: 5.
Now, let's say you chose Cheese as the food. How many choices do you have for a different kind of food? 4. You can't pick cheese again. This is true no matter what food is your first choice. The second choice always has 1 less. So, the number of combinations of different food is found by multiplying 5 x 4 = 20 possible food choices.
Lastly, we have 3 different kinds of drink choices. So again, we multiply this:
20 x 3 = 60 total choices for 2 different foods & 1 drink.