document.write( "Question 1098001: A catering service offers 11 appetizers, 4 main courses, and 9 desserts. A banquet chairperson is to select 5 appetizers, 3 main courses, and 3 desserts for a banquet. In how many ways can this be done? \n" ); document.write( "

Algebra.Com's Answer #712401 by KMST(5328) $\"\"$ $\"About$

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There are $\"11%2A10%2A9%2A8%2A7\"$ ordered lists of $\"5\"$ appetizers that can be written, but each set of $\"5\"$ appetizers would be repeated in different order in $\"5%2A4%2A3%2A2\"$ lists.
\n" ); document.write( "So, there are $\"11%2A10%2A9%2A8%2A7%2F%282%2A3%2A4%2A5%29\"$ different sets of $\"5\"$ appetizers that can be selected, from the $\"11\"$ appetizers available.
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\n" ); document.write( "There are $\"4%29\"$ different sets of $\"3\"$ main courses that can be selected from the $\"4\"$ main courses available. (It is just a question of deciding which of the 4 main courses to exclude).
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\n" ); document.write( "There are $\"9%2A8%2A7%2F%282%2A3%29\"$ different sets of $\"3\"$ desserts that can be selected from the $\"9\"$ desserts available.
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\n" ); document.write( "Combining the possible choices for appetizer, main course, and dessets selections, the number of posssible banquet menus is
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\n" ); document.write( "Simplifying, you get
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