Question

In the sandwiches mode, select the "cheese" option and observe the equation given for the preparation of a cheese sandwich. in the equation, set the number of bread slices to "2" and the number of cheese slices to "1." you will see that the product formed by these three ingredients is one cheese sandwich. suppose you have 38 bread slices and 28 cheese slices. how many cheese sandwiches can you make?

Answer 1

The answer is 19,684.

We can use combinations to answer this:

We want to know how many ways we can choose 2 slices of bread from 38 slices and choose 1 slice of cheese from 28 slices. The combinations involved would be look like:


`_(38)C_2* _(28)C_1 \\ \\=(38!)/(2!36!) * (28!)/(1!27!) \\ \\=703*28 \\=19,684`