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| 1 : | jj | 3131 | ##DESCRIPTION |
| 2 : | ## Simplify factorials | ||
| 3 : | ##ENDDESCRIPTION | ||
| 4 : | |||
| 5 : | ## Tagged by ynw2d | ||
| 6 : | |||
| 7 : | jj | 3141 | |
| 8 : | jj | 3131 | ## DBsubject('Algebra') |
| 9 : | ## DBchapter('Sequences and Series') | ||
| 10 : | jj | 3141 | ## DBsection('The Binomial Theorem') |
| 11 : | ## Date('6/3/2002') | ||
| 12 : | jj | 3131 | ## Institution('ASU') |
| 13 : | jj | 3141 | ## TitleText1('College Algebra') |
| 14 : | ## AuthorText1('Stewart, Redlin, Watson') | ||
| 15 : | ## EditionText1('3') | ||
| 16 : | ## Section1('9.6') | ||
| 17 : | ## Problem1('13') | ||
| 18 : | ## KEYWORDS('factorials') | ||
| 19 : | jj | 3131 | |
| 20 : | jj | 61 | # |
| 21 : | jj | 3131 | # First comes some stuff that appears at the beginning of every problem |
| 22 : | jj | 61 | # |
| 23 : | |||
| 24 : | jj | 3131 | DOCUMENT(); # This should be the first executable line in the problem. |
| 25 : | jj | 61 | |
| 26 : | jj | 3131 | loadMacros( |
| 27 : | "PG.pl", | ||
| 28 : | "PGbasicmacros.pl", | ||
| 29 : | "PGchoicemacros.pl", | ||
| 30 : | "PGanswermacros.pl", | ||
| 31 : | "PGauxiliaryFunctions.pl", | ||
| 32 : | "PGasu.pl" | ||
| 33 : | ); | ||
| 34 : | jj | 61 | |
| 35 : | jj | 3131 | TEXT(beginproblem()); |
| 36 : | |||
| 37 : | # | ||
| 38 : | # Choose the denominator | ||
| 39 : | # | ||
| 40 : | |||
| 41 : | $b = random(1,30); | ||
| 42 : | |||
| 43 : | #Pick how many more the numerator will be | ||
| 44 : | $c = random(1,5); | ||
| 45 : | |||
| 46 : | #Calculate the numerator | ||
| 47 : | $a = $b + $c; | ||
| 48 : | |||
| 49 : | #calculate the answer | ||
| 50 : | $ans = $a; | ||
| 51 : | for($j=$b+1; $j<$a; $j++) { | ||
| 52 : | $ans *= $j; | ||
| 53 : | } | ||
| 54 : | |||
| 55 : | #Now the problem | ||
| 56 : | |||
| 57 : | |||
| 58 : | BEGIN_TEXT | ||
| 59 : | Evaluate \[\frac{$a !}{$b !}\] | ||
| 60 : | $PAR | ||
| 61 : | \(\frac{$a !}{$b !}\) =\{ans_rule(40)\} | ||
| 62 : | END_TEXT | ||
| 63 : | |||
| 64 : | # | ||
| 65 : | # Tell WeBWork how to test if answers are right. These should come in the | ||
| 66 : | # same order as the answer blanks above. You tell WeBWork both the type of | ||
| 67 : | # "answer evaluator" to use, and the correct answer. | ||
| 68 : | # | ||
| 69 : | |||
| 70 : | ANS(num_cmp($ans)); | ||
| 71 : | |||
| 72 : | ENDDOCUMENT(); # This should be the last executable line in the problem. | ||
| 73 : |
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