Question

Your at a sandwich shop, they offer 3 types of breads, 4 types of meats, and 8 types of toppings. How many different combinations are there?

Answer 1

36 outcomes

As this a sandwich shop it uses bread for all meats.

3 x 4 x 3 = 36

Because 3 x 4 = 12

As the toppings are only repeated 8x3 = 24 and alongside this we add the shorter combinations to this

Explanation:

B1 M1 < B1 M2 < B1 M3 < B1 M4 < B1 M1 T1 < B1 M1 T2 < B1 M1 T3 to B1 M1 T8 etc = 12 combinations step 1

B2 M1 repeat above with B2 to replace B1 above = 12

B3 M1 repeat above with B3 to replace B1 above = 12

As we only multiply whole numbers together if we are looking for an order of sequence such as combinations to a safe number code or how people stand in a queue etc back to middle number. We would get 96

Bread x middle value then outcome x toppings = 36 outcomes

Answer 2

96 combinations

Explanation:

when you get a question like this you multiply all the numbers and you get total number of combinations possible