## anonymous one year ago Help please?? 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? 360 420 480 540

1. kropot72

Th required number of ways is given by: $4\times 4C2\times6C3=you\ can\ calculate$

2. anonymous

What do the C's stand for?

3. kropot72

$\large nCr=\frac{n!}{r!(n-r)!}$ So 4C2 is $\large 4C2=\frac{4\times3\times2\times1}{2\times1\times2\times1}=6$

4. kropot72

And 6C3 is $\large 6C3=\frac{6\times5\times4\times3\times2\times1}{3\times2\times1\times3\times2\times1}=20$

5. anonymous

is it 480 then?

6. kropot72

Correct.