Problem with the select/deselect of radio buttons once all the options are selected one-by-one

Question

I am using radiobuttons ( ChoiceMenu[radio,...] ) and make them completely deselectable by removing the "Radio" flag using instructions from the following link:
http://tex.stackexchange.com/a/74543/3323
But here comes and other issue.
If I select and deselect all the options (A,B,C,D) one-by-one and then select option A again, it selects/deselects all the options at once.
Sample code is shown below.
documentclass{article}
usepackage{amsmath}
usepackage{amssymb}
usepackage{amsfonts}
usepackage{mathtools}
usepackage{enumitem}
usepackage[utf8]{inputenc}
usepackage[hidelinks,bookmarks=false]{hyperref}
usepackage{xcolor}
usepackage{etoolbox}

makeatletter
patchcmd{HyField@FlagsRadioButton}{HyField@SetFlag{Ff}{Radio}}{}{}{}
makeatother
defDefaultOptionsofRadio{print}

begin{document}

Select the Einstein's mass energy equivalence.
begin{enumerate}[label=(Alph*)]
    item ChoiceMenu[radio,radiosymbol=ding{52},name=myGroupOfRadiobuttons]{}{texorpdfstring{$F = ma$}{}}
    item ChoiceMenu[radio,radiosymbol=ding{52},name=myGroupOfRadiobuttons]{}{texorpdfstring{$F = dfrac{dp}{dt}$}{}}
    item ChoiceMenu[radio,radiosymbol=ding{52},name=myGroupOfRadiobuttons]{}{texorpdfstring{$E = hf$}{}}
    item ChoiceMenu[radio,radiosymbol=ding{52},name=myGroupOfRadiobuttons]{}{texorpdfstring{$E = mc^2$}{}}
end{enumerate}

end{document}

Is there any solution to this?
Thank you in advance.

Ulrike Fischer · Accepted Answer

Your example is missing the initialization with begin{Form} or Form.
Beside this: you are using a texorpdfstring with empty second argument, that means that all fields have the same value in the pdf. If you add there something unique it works.
documentclass{article}
usepackage{amsmath}
usepackage{amssymb}
usepackage{amsfonts}
usepackage{mathtools}
usepackage{enumitem}
usepackage[utf8]{inputenc}
usepackage[hidelinks,bookmarks=false]{hyperref}
usepackage{xcolor}
usepackage{etoolbox}

makeatletter
patchcmd{HyField@FlagsRadioButton}{HyField@SetFlag{Ff}{Radio}}{}{}{}
makeatother
defDefaultOptionsofRadio{print}

begin{document}
Form % initialization
Select the Einstein's mass energy equivalence.
begin{enumerate}[label=(Alph*)]
    item ChoiceMenu[radio,radiosymbol=ding{52},name=myGroupOfRadiobuttons]{}{texorpdfstring{$F = ma$}{a}}
    item ChoiceMenu[radio,radiosymbol=ding{52},name=myGroupOfRadiobuttons]{}{texorpdfstring{$F = dfrac{dp}{dt}$}{b}}
    item ChoiceMenu[radio,radiosymbol=ding{52},name=myGroupOfRadiobuttons]{}{texorpdfstring{$E = hf$}{c}}
    item ChoiceMenu[radio,radiosymbol=ding{52},name=myGroupOfRadiobuttons]{}{texorpdfstring{$E = mc^2$}{d}}
end{enumerate}

end{document}

But this is clearly against the pdf reference, radio buttons should have the flag set, so you are relying on some undocumented side effect.

Problem with the select/deselect of radio buttons once all the options are selected one-by-one

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