Question

A delicatessen offers 4 different breads, 4 cheeses, and 6 different meats. In how many ways can a sandwich be made with 1 bread, 2 cheese, and 3 meats?

Answer 1

multiply multiply multiply

Answer 2

\[4\times _4C_2\times _6C_3\]

Answer 3

I just don't understand what are the right numbers to multiply with what.

Answer 4

So it's the groupings mainly?

Answer 5

4 choose 1 (which is 4) times 4 choose 2 times 6 choose 3

Answer 6

one out of 4 bread times 2 out of 4 cheese times 3 out of 6 meat

Answer 7

counting principle says multiply all together

Answer 8

oh! Thank you so much. That really helped. :)

Answer 9

yw