Question 1150311
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Use the nCr combination formula
*[Tex \LARGE _{n}C_{r} = \frac{n!}{r!*(n-r)!}] 
or use a calculator that has the nCr function built in. 
A third approach is to use Pascal's Triangle.



There are...
<ul><li>5 C 4 = <font color=blue>5</font> ways to pick four appetizers (from a pool of five appetizers total)</li><li>9 C 2 = <font color=blue>36</font> ways to pick two main courses (from a pool of nine main courses total)</li><li>7 C 4 = <font color=blue>35</font> ways to pick four desserts (from a pool of seven desserts total)</li></ul>
side note: the order does not matter


This means that there are are <font color=blue>5*36*35</font> = <font size=4 color=red>6300</font> ways to select a full meal that consists of 4 appetizers, 2 main courses, and 4 desserts (from a pool of 5 appetizers, 9 main courses, and 7 desserts)
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