Elaine's Grocery has a lunch counter where people can order 3 types of sandwiches egg salad, chicken salad, or falafel. Sandwiches can be made with 2 types of bread pita or baguette. What are all the possible combinations for a sandwich from the lunch counter?
It is a total of 3 options choosing only two in a combination for you would use the combination "equation" :\(\frac{n!}{(n-r)!r!}\)
int this case it would look like this:
\(\frac{3!}{(3-2)!2!}\)
There are six (6) different sandwiches available.
They are:
-- egg salad on pita
-- egg salad on baguette
-- chicken salad on pita
-- chicken salad on baguette
-- falafel on pita
-- falafel on baguette .
Some sound more appetizing than others,
but the math is bullet-proof.