View of /trunk/rochester_problib/setDiscrete11InclusionEx/ur_dis_11_4.pg

    1 ##DESCRIPTION
    2 ##KEYWORDS('Standard Example')
    3 ##problem 16 section 5.5 of Discrete Math by Kenneth Rosen
    4 ##this problem is also located in the directory setSetTheroy1
    5 ##ENDDESCRIPTION
    6 
    7 DOCUMENT();        # This should be the first executable line in the problem.
    8 
    9 loadMacros(
   10 "PG.pl",
   11 "PGbasicmacros.pl",
   12 "PGchoicemacros.pl",
   13 "PGanswermacros.pl",
   14 "PGauxiliaryFunctions.pl"
   15 );
   16 
   17 TEXT(&beginproblem);
   18 
   19 $a=random(95,100,1);
   20 $b=random(45,55,1);
   21 $c=random(20,30,1);
   22 $d=random(2,7,1);
   23 $e=4*$a - 6*$b + 4*$c - $d;
   24 
   25 BEGIN_TEXT
   26 How many elements are in the union of four sets if each of the sets has \( $a \) elements,
   27 each pair of sets share \( $b \) elements, each triple of sets shares \( $c \) elements
   28 and there are \( $d \) elements in all four sets.
   29 $BR
   30 \{ ans_rule(40) \}
   31 $PAR
   32 END_TEXT
   33 
   34 ANS( num_cmp( $e ) );
   35 
   36 
   37 ENDDOCUMENT();        # This should be the last executable line in the problem.;