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| 1 : | jj | 61 | ## DESCRIPTION |
| 2 : | ## Calculus | ||
| 3 : | ## ENDDESCRIPTION | ||
| 4 : | |||
| 5 : | ## KEYWORDS('Discrete', 'permutation') | ||
| 6 : | ## Tagged by YL | ||
| 7 : | |||
| 8 : | ## DBsubject('Calculus') | ||
| 9 : | ## DBchapter('Discrete mathematics') | ||
| 10 : | ## DBsection('Combinatorics') | ||
| 11 : | ## Date('') | ||
| 12 : | ## Author('') | ||
| 13 : | ## Institution('ASU') | ||
| 14 : | ## TitleText1('Calculus') | ||
| 15 : | ## EditionText1('5e') | ||
| 16 : | ## AuthorText1('Stewart') | ||
| 17 : | ## Section1('') | ||
| 18 : | ## Problem1('') | ||
| 19 : | |||
| 20 : | DOCUMENT(); # This should be the first executable line in the problem. | ||
| 21 : | |||
| 22 : | loadMacros( | ||
| 23 : | "PG.pl", | ||
| 24 : | "PGbasicmacros.pl", | ||
| 25 : | "PGchoicemacros.pl", | ||
| 26 : | "PGanswermacros.pl", | ||
| 27 : | "PGauxiliaryFunctions.pl" | ||
| 28 : | ); | ||
| 29 : | |||
| 30 : | TEXT(beginproblem()); | ||
| 31 : | $showPartialCorrectAnswers = 1; | ||
| 32 : | |||
| 33 : | $a=random(4,8,1); | ||
| 34 : | |||
| 35 : | |||
| 36 : | BEGIN_TEXT | ||
| 37 : | How many different ways can a race with $a runners be completed? | ||
| 38 : | (Assume there is no tie.) | ||
| 39 : | $BR | ||
| 40 : | Your answer is : \{ans_rule(25) \} | ||
| 41 : | $BR | ||
| 42 : | END_TEXT | ||
| 43 : | |||
| 44 : | $ans = fact($a); | ||
| 45 : | ANS(std_num_cmp($ans)); | ||
| 46 : | |||
| 47 : | ENDDOCUMENT(); # This should be the last executable line in the problem. |
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