# Thread: Probability question

1. ## Probability question

During a special morning recess, teachers had a choice of tea, orange juice, coffee, pies, cheese, salami, biscuits and cake. However, a teacher could sample only two kinds of food and one drink. How many different combinations of food and drink were possible?

Please show any working out. Thanks

2. there are 3 drinks and 6 foods..which means 6*3=18 combination

3. Originally Posted by Joker37
During a special morning recess, teachers had a choice of tea, orange juice, coffee, pies, cheese, salami, biscuits and cake. However, a teacher could sample only two kinds of food and one drink. How many different combinations of food and drink were possible?

Please show any working out. Thanks
Originally Posted by franckherve1
there are 3 drinks and 6 foods..which means 6*3=18 combination
This is totally wrong.

1. There are 5 foods not 6.
2. You can select 2 of the foods, not 1 (which is what you're implying with 6*3).

The correct answer is ${5 \choose 2} \cdot 3 = 10 \cdot 3 = 30$.