Multiple selection questions through look up table

Dear Sir/Madam,

By using the look up table for multiple selection. It did not accept the spaces in the values. But it is working with multiple choice. Is it the case that commcare will not support space on values for multiple selection by look up table.

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That's correct, you cannot use values with spaces in them for lookup table checkbox questions. You can read more about this here:
https://confluence.dimagi.com/display/commcarepublic/Setup+a+Question+with+Filtered+Choices

NOTE: Lookup tables referenced in Checkbox questions should not have values with spaces in them. This can cause data issues in your app. Please define the values in the lookup tables without spaces.

Similarly, when you create options for a checkbox question in the form builder, it blocks you from adding spaces, but with lookup tables this can't be determined until the app is run.