The number of possible 4-card hands out of a 52 card deck is 270,725.
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24 out of 6497400 = 1 out of 270725.
If the cards are all different then there are 13C7 = 1716 different hands.
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There are 2,598,960 5-card hands. This is combinatorials, which is used in probability but is not probability itself.
This is a combinations question. There are (52 C 13) possible hands. This is 52!/((13!)((52-13)!)) = 635013559600