document.write( "Question 1062041: In how many ways can a committee consisting of 3 faculty members and 5 students be formed if there are 10 faculty members and 15 students eligible to serve on the committee? \n" ); document.write( "

Algebra.Com's Answer #676803 by math_helper(2461) $\"\"$ $\"About$

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You can choose 3 faculty members out of 10 eligible in C(10,3) (=10!/(7!*3!)) ways.\r
\n" ); document.write( "\n" ); document.write( "You can choose 5 student members from 15 eligible in C(15,5) (=15!/(10!*5!) ways.\r
\n" ); document.write( "\n" ); document.write( "Since those selections are independent, the total number of committees is just the product of those two numbers.\r
\n" ); document.write( "\n" ); document.write( "—
\n" ); document.write( " Total committees possible = C(10,3) * C(15,5) = 120 * 3003 = 360360.
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