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How many possible outcomes are there if you pick a card from a deck of 52?
The are 52 possible outcomes if you pick a card from a deck of 52.
How many different 3 card hands from 52 card deck?
52*51*50 ------------- = 22100 three-card hands 3!
How many 3 card hands are possible from a standard deck of 52 cards?
This is a permutation, which is from 52 select 3, or52P3, or 132600. The other way to think of this is you have 52 choices for the first card, 51 choices for the second card, and 50 choices for the third card. Therefore you have 52*51*50 possible hands or 132600.
How many different hands of a 13-card might you have out of standard deck of 52 playing?
You can draw C(52,13) = 52! /13! 39! = 635 013559 600 different 13-card hands from a deck of 52 cards.
How many 5 card hands consisting of three of a kind can be drawn from a standard 52 card deck?
The number of 5-card hands consisting of three of a kind can be calculated by choosing the rank for the three cards (13 options) and any two other cards (44 options remaining). Therefore, the number of 5-card hands consisting of three of a kind is 13 * 44 = 572.
