>>29063
The French didn't disperse all of their tanks among infantry. They had more tanks so in addition to the dispersed fleet they had their own armored divisions, in addition to a higher level of motorization as a whole.
On the 10th of May the Allies had:
5 Divisions Légères de Cavalerie (half-motorized)
At least 7 (1st,3rd,5th,9th,12th,15th,25th) infantry divisions designated as motorized
3 Divisions Légères Mécaniques (armored)
3 Divisions Cuirassées de Reserve (armored)
Plus a few cavalry units, the army-sized BEF that had a very high level of motorization and the mobile components of the Dutch and Belgian armies.
Germany had 10 Panzer, 1 cavalry and 6 motorized (including SS-Totenkopf and SS-Verfügungs) divisions.
The Allied mobile component was there, but like the rest of the army it was in the wrong place in the wrong time.