And definitely you will probably get infected by an additional cold, because there remain over 300 different runny nose infections. However you will certainly never acquire the same runny nose infection that you had previously since you have developed immunity to it.

Parents have in the past had a great deal of the rhinitis infections. Adults have actually established resistance to the viruses they have had. Therefore there are not lots of cold infections around for adults to acquire. That is why parents only acquire a couple of runny noses annually whereas children acquire 10-12 runny noses per year.
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