You seem to be confusing "listing" - the stock exchange where a company chooses its stock to trade (i.e. NYSE, AmEx, Nasdaq) with "indexes" - a list of stocks that is often the basis for index funds.
The Nasdaq 100 is not the same as Nasdaq. A company can be in many indexes but only one listing. There may have been competition for the listing but there is not competition between indexes for inclusion.
The Nasdaq 100 is not the same as Nasdaq. A company can be in many indexes but only one listing. There may have been competition for the listing but there is not competition between indexes for inclusion.