Final answer:
There are 2,598,960 different 5-card poker hands that can be dealt from a 52-card deck, calculated using the combination formula C(52, 5).
Step-by-step explanation:
The student asks about the number of different 5-card poker hands that can be dealt from a regular 52-card deck. The calculation for this involves combinatorics, specifically the combination formula which is represented as 'n choose k' or C(n, k), where n is the total number of items, and k is the number of items to choose.
The total number of ways to pick 5 cards out of 52 without regard to order (since the order in a poker hand doesn't matter) is calculated as follows:
C(52, 5) = 52! / [5! * (52 - 5)!]
This simplifies to:
2,598,960 different 5-card poker hands
Therefore, the answer to the student's question is that there are 2,598,960 different 5-card poker hands that can be dealt from a standard 52-card deck.