The nasdaq is where companies list. Its a competitor to the new york stock exchange
The dow and the s&p 500 are lists of the biggest stocks. They can include stocks from any exchanges in the us (not sure about internationally).
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Different stock indexes pick different stocks to include in their average. The S&P500 uses five hundred different companies which the DOW uses just thirty.
The actual companies in each changes depending on a number of factors.
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