document.write( "Question 338960: How many diffrent ways are there for an admission officer to select a group of 7 college candidates from a group of 13 applications from a group of 13 applicants from an interview? \n" ); document.write( "

Algebra.Com's Answer #243021 by edjones(8007) $\"\"$ $\"About$

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Since we are not interested in the arrangement of the students this is a combination problem.
\n" ); document.write( "nCr=n!/(n-r)!r!
\n" ); document.write( "=13!/(13-7)!7!
\n" ); document.write( "=1,716 different ways.
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