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| 1 : | jj | 61 | ##DESCRIPTION |
| 2 : | ## Simplify factorials | ||
| 3 : | ##ENDDESCRIPTION | ||
| 4 : | |||
| 5 : | jjholt | 101 | ## KEYWORDS('Sequences and Series') |
| 6 : | ## Tagged by ynw2d | ||
| 7 : | |||
| 8 : | ## DBsubject('Algebra') | ||
| 9 : | ## DBchapter('Sequences and Series') | ||
| 10 : | ## DBsection('Arithmetic Sequences') | ||
| 11 : | ## Date('') | ||
| 12 : | ## Author('') | ||
| 13 : | ## Institution('ASU') | ||
| 14 : | ## TitleText1('') | ||
| 15 : | ## EditionText1('') | ||
| 16 : | ## AuthorText1('') | ||
| 17 : | ## Section1('') | ||
| 18 : | ## Problem1('') | ||
| 19 : | ##KEYWORDS('algebra', 'sequence') | ||
| 20 : | |||
| 21 : | jj | 61 | ##KEYWORDS('factorials') |
| 22 : | |||
| 23 : | # | ||
| 24 : | # First comes some stuff that appears at the beginning of every problem | ||
| 25 : | # | ||
| 26 : | |||
| 27 : | DOCUMENT(); # This should be the first executable line in the problem. | ||
| 28 : | |||
| 29 : | loadMacros( | ||
| 30 : | "PG.pl", | ||
| 31 : | "PGbasicmacros.pl", | ||
| 32 : | "PGchoicemacros.pl", | ||
| 33 : | "PGanswermacros.pl", | ||
| 34 : | "PGauxiliaryFunctions.pl", | ||
| 35 : | "PGasu.pl" | ||
| 36 : | ); | ||
| 37 : | |||
| 38 : | TEXT(&beginproblem); | ||
| 39 : | |||
| 40 : | # | ||
| 41 : | # Choose the denominator | ||
| 42 : | # | ||
| 43 : | |||
| 44 : | $b = random(1,30); | ||
| 45 : | |||
| 46 : | #Pick how many more the numerator will be | ||
| 47 : | $c = random(1,5); | ||
| 48 : | |||
| 49 : | #Calculate the numerator | ||
| 50 : | $a = $b + $c; | ||
| 51 : | |||
| 52 : | #calculate the answer | ||
| 53 : | $ans = $a; | ||
| 54 : | for($j=$b+1; $j<$a; $j++) { | ||
| 55 : | $ans *= $j; | ||
| 56 : | } | ||
| 57 : | |||
| 58 : | #Now the problem | ||
| 59 : | |||
| 60 : | |||
| 61 : | BEGIN_TEXT | ||
| 62 : | Evaluate \[\frac{$a !}{$b !}\] | ||
| 63 : | $PAR | ||
| 64 : | \(\frac{$a !}{$b !}\) =\{ans_rule(40)\} | ||
| 65 : | END_TEXT | ||
| 66 : | |||
| 67 : | # | ||
| 68 : | # Tell WeBWork how to test if answers are right. These should come in the | ||
| 69 : | # same order as the answer blanks above. You tell WeBWork both the type of | ||
| 70 : | # "answer evaluator" to use, and the correct answer. | ||
| 71 : | # | ||
| 72 : | |||
| 73 : | &ANS(num_cmp($ans)); | ||
| 74 : | |||
| 75 : | ENDDOCUMENT(); # This should be the last executable line in the problem. | ||
| 76 : |
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