Question 936253
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two aces;
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4 aces Choose 2

That's 4C2 = 6 ways
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one king;
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4 kings Choose 1

That's 4C1 = 4 ways
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one queen;
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4 queens Choose 1

That's C(4,1) = 4 ways
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three jacks;
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4 jacks choose 3

That's C(4,3) = 4 ways
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and the six other cards, ten or less
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 There are 9 ranks (2,3,4,5,6,7,8,9,10) of 4 suits each. 
 That makes 9*4=36 cards which are ten or less.

36 cards ten or less Choose 6

That's C(36,6) = 1947792

Answer: (4C2)(4C1)(4C1)(4C3)(36C6) = (6)(4)(4)(4)(1947792) = 747952128 ways.

Edwin</pre>