ho5livi4Carmonessaba
ho5livi4Carmonessaba ho5livi4Carmonessaba
  • 19-07-2016
  • Mathematics
contestada

how many 5 card poker hands consisting of 2 aces and 3 kings are possible with an ordinary 52 card deck

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nobillionaireNobley
nobillionaireNobley nobillionaireNobley
  • 26-07-2016
2 aces can be selected from 4 aces by 4C2 = 4!/2!(4 - 2)! =4!/ (2! x 2!) = (4 x 3 x 2 x 1)/(2 x 1 x 2 x 1) = 6 ways
3 kings can be selected from 4 kings by 4C3 = 4!/3!(4 - 3)! =4!/ (3! x 1!) = (4 x 3 x 2 x 1)/(3 x 2 x 1 x 1) = 4 ways

Therefore, the number of 5 card poker hands consisting of 2 aces and 3 kings possible with an ordinary 52 card deck is 6 x 4 = 24
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