52 factorial, approximately 80.65817517E66
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Mathematicians have a shorthand for this result called 52!, or 52 factorial. More compactly, this is 8*10^67.
2,4,6,8,10 are even cards of a deck. There are 52 cards in all. Even cards may be chosen in 52C5 = 52x51x50x49x48 / 5x4x3x2x1 = 2,598,960 ways.
52!
There are 65,780 ways.
3 ways
There are 286 ways.