** Using WeBWorK **

I am programming some combinatorics questions.  Students can enter their answers using P(m,n) and C(m,n) notation, but sometimes students like to enter numbers instead.  The integer answers can get quite large, and I want to avoid scientific notation when displaying numbers that arise. 

1) Is there a quick and easy way to display integers that are large (ie more than 6 digits) without using scientific notation? I used sprintf. While I have C(m,n) and P(m,n)  notation appearing in the ``Correct Answer'' column,  I thought it would be nice to show the actual computed number in the solution areas. 

2) If the student enters a computed number (rather than an expression using C(m,n) or P(m,n) ), is there a way to ensure the actual correct integer is entered other than setting the tolerance to 0.000001?

Code and embedded questions below:

########################################################################

DOCUMENT();      

loadMacros(
   "PGstandard.pl",     # Standard macros for PG language
   "MathObjects.pl",
    "PGML.pl",
   "contextIntegerFunctions.pl",   #  need for P(n,k) and C(n,k);
   #"PGcourse.pl",      # Customization file for the course
);

# Print problem number and point value (weight) for the problem
TEXT(beginproblem());

# Show which answers are correct and which ones are incorrect
$showPartialCorrectAnswers = 1;

##############################################################
#
#  Setup
#
#
Context("IntegerFunctions")->flags->set(
#    reduceConstants=>0,
    reduceConstantFunctions=>0
);
Context()->flags->set(tolerance => 0.000001);

$total =32 ;                 #random(26,32);
$selection = 25;               #random(9,12);


##############################################################
#
#  Text
#
#


BEGIN_PGML

How many unordered selections of size  [:[$selection] :] can be made from a set of [: [$total]:] objects?

    [_]{Formula("C($total, $selection)")}{30}
    

*Solution*  I'm putting the solution here rather than in pgml_solution area to avoid clicking and display my issues when presenting solutions.

[: [@ Formula("C($total, $selection)" ) @]  = [@ Formula("C($total, $selection)") -> reduce @]  :]

I want to avoid scientific notation when computing the actual number in the solution section.  Note: I have the C(m,n) notation appearing in the ``Correct Answer'' column, which is exactly what I wanted.  That being said, I needed to crank the tolerance up to  0.000001 to make sure 3365860 was not accepted as a correct answer.  Is there a better way to do this?

I tried to use sprintf to get the entire number for [: C([$total], [$selection]) :] with varying results.

Version 1: sprintf with with algebra notation [| [: [@ sprintf("%d",Real(" C($total, $selection) ")-> value ) @] :] |]
    [: [@ sprintf("%d",Real(" C($total, $selection) ")-> value ) @] :]

Version 2: sprintf with with latex notation
[|  [@ sprintf("%d",Real(" C($total, $selection) ")) @]  |]  
    [` [@ sprintf("%d",Real(" C($total, $selection) ")) @] `]  

Version 3: sprintf with with latex  and -> value  applied to the real number [|  [@ sprintf("%d",Real(" C($total, $selection) ") -> value ) @]  |]  
    [` [@ sprintf("%d",Real(" C($total, $selection) ") -> value ) @] `]

Version 3 is what I want.   Is there a shorter way to get Version 3 (ie the entire correct large number)?  



END_PGML

COMMENT('MathObject version. Uses PGML.');
ENDDOCUMENT();