document.write( "Question 411067: A club has 15 students. Anserw the follow. Show steps.\r
\n" ); document.write( "\n" ); document.write( "a)How many different 3-member committees could the club form?
\n" ); document.write( "b) How many different 6-member committees could the club form?
\n" ); document.write( "c)In how many ways can a club president,vice-president and a secretary be chosen?
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Algebra.Com's Answer #288953 by ewatrrr(24785)\"\" \"About 
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\n" ); document.write( "Hi
\n" ); document.write( "Note: nCx = \"n%21%2F%28x%21%28n-x%29%21%29\" and nPx = \"n%21%2F%28n-x%29%21%29\"
\n" ); document.write( "A club has 15 students.
\n" ); document.write( "a)How many different 3-member committees could the club form: 15C3
\n" ); document.write( " 15C3 = 15*14*13/2*3 = 2730/6 = 455
\n" ); document.write( "b) How many different 6-member committees could the club form:15C6
\n" ); document.write( " 15C6 = 15*14*13*12*11*10/2*3*4*5*6=3603600/144 = 5005
\n" ); document.write( "c)In how many ways can a club president,vice-president and a secretary be chosen?
\n" ); document.write( " 15P3 = 15*14*13 = 2730 \r
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