document.write( "Question 972880: what is the answer to this question: A commitee of 4 students and 3 teachers is to be formed from 6 students and 5 teachers. how many different commitee are possible \n" ); document.write( "

Algebra.Com's Answer #595242 by macston(5194) $\"\"$ $\"About$

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The number of possible combinations of n people taken r at a time is:
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\n" ); document.write( " $\"n%21%2F%28r%21%28n-r%29%21%29\"$
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\n" ); document.write( "For students on committee:n=6; r=4
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\n" ); document.write( " $\"6%21%2F%284%21%286-4%29%21%29=6%2A5%2F%282%2A1%29\"$ = $\"30%2F2=15\"$ possible groups of students.
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\n" ); document.write( "For teachers on committee: n=5; r=3
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\n" ); document.write( " $\"5%21%2F%283%21%285-3%29%21%29=5%2A4%2F%282%2A1%29\"$ = $\"20%2F2=10\"$ possible groups of teachers.
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\n" ); document.write( "There are 15 different groupings of students and 10 different groupings of teachers, so total there are (15)*(10)=150 different committees possible
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