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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

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  1. kropot72
    • one year ago
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    Th required number of ways is given by: \[4\times 4C2\times6C3=you\ can\ calculate\]

  2. anonymous
    • one year ago
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    What do the C's stand for?

  3. kropot72
    • one year ago
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    \[\large nCr=\frac{n!}{r!(n-r)!}\] So 4C2 is \[\large 4C2=\frac{4\times3\times2\times1}{2\times1\times2\times1}=6\]

  4. kropot72
    • one year ago
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    And 6C3 is \[\large 6C3=\frac{6\times5\times4\times3\times2\times1}{3\times2\times1\times3\times2\times1}=20\]

  5. anonymous
    • one year ago
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    is it 480 then?

  6. kropot72
    • one year ago
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    Correct.

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