[rochester] / trunk / rochester_problib / setDiscrete11InclusionEx / ur_dis_11_4.pg Repository: Repository Listing bbplugincoursesdistsnplrochestersystemwww

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

Thu Jul 25 15:23:04 2002 UTC (10 years, 9 months ago) by ad001h
File size: 891 byte(s)
```new problmes from mth150
```

```    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
10 "PG.pl",
11 "PGbasicmacros.pl",
12 "PGchoicemacros.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.;
```