document.write( "Question 575115: from a group of 6 men and 8 women a committee of 3 is to be selected at random find the probability that all 3 are men or all 3 woman \n" ); document.write( "
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from a group of 6 men and 8 women a committee of 3 is to be selected at random find the probability that all 3 are men or all 3 woman..
\n" ); document.write( "sol :
\n" ); document.write( " p(e) = (n(e))/(n(s))
\n" ); document.write( "n(s) = 3 mem from 14 people
\n" ); document.write( " 14c3 = 364
\n" ); document.write( "n(e) = 3 from total men and 3 from total women
\n" ); document.write( " = 6c3 + 8c3
\n" ); document.write( " = 76
\n" ); document.write( "so p(e) = 76/364
\n" ); document.write( " =19/91.
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