How do you play Spitz?
How many piles are there in Solitaire?
To form the tableau, seven piles need to be created. Starting from left to right, place the first card face up to make the first pile, deal one card face down for the next six piles. Starting again from left to right, place one card face up on the second pile and deal one card face down on piles three through seven. Correspondingly, how many ways can you draw 3 kings and 2 aces from from a deck of 52 cards?
Moreover, how many five card poker hands containing three of a kind and a pair a full house are possible?
A full house is any three of kind with a pair. So take 24 and multiply by 13 (13 ranks for the three of a kind) and by 12 (12 ranks for the pair, note you used one rank to make the three of a kind). So the number of full house hands is 13x4x12x6=3744. One may also ask how many hands contain 3 spades and 2 hearts?
How many ways are there to draw 3 Kings from a deck of cards?
To answer a), we note that there 52 ways to choose the first card, 51 ways to choose the second card, and 50 ways to choose the third card, for a total of 52*51*50=132,600 ways. How many hands contain exactly 3 Aces? If you mean EXACTLY 3 aces the answer is 4C3*48C2=4512.
How many hands contain exactly 3 queens?
There are 4C3 * 48C2 = 4,512 hands with exactly three queens.
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