How to clip GEE MODIS burnt area collection

Question

I am using the MODIS Burned Area Monthly Global 500m product in GEE. I would like to export the information in a .tiff file for a designated area, which I have imported into GEE as a shapefile. The original code is as follows

var dataset = ee.ImageCollection('MODIS/006/MCD64A1')

.filter(ee.Filter.date('2000-01-01', '2020-06-05')); 
  var burnedArea = dataset.select('BurnDate');

var burnedAreaVis = {

min: 30.0,

max: 341.0,

palette: ['4e0400', '951003', 'c61503', 'ff1901'],
};

Map.setCenter(30, 50, 6);

Map.addLayer(burnedArea, burnedAreaVis, 'Burned Area');

I have tried to clip the collection to the shapefile using cliptocollection, but it consistently comes up with different error codes - and I really have no idea how to export a collection such as this to my drive. 
Any help would be extremely appreciated. 
Thanks.

HMSP · Answer

If you want to export images within your geometry, you don´t need to clip them. Just specify  the geometry as region when exporting.

Export.image.toDrive({
image: your_image,
description: 'name_of_exported_tiff',
scale: 500,
region: your_geometry,
crs: 'EPSG:4032' 
});

If you want to export the entire collection, the answer to this question may help you. Export each image from a collection in Google Earth Engine

How to clip GEE MODIS burnt area collection

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