By choosing 4 within 52 cards, how many ways can they be sorted in a way of getting at least 2 kings?
+130555 So....getting "at least" two kings means getting two kings, three kings or all four
The number of ways to get two kings is to choose any two of them and, from the other 48 cards, choose any two of them - since we're drawing four altogether. So we have
nCr(4, 2)*nCr(48, 2) = 6768 ways to do this
The number of ways to get three kings is to choose any three of them and, from the other 48 cards, choose any one of them. So we have
nCr(4,3)*nCr(48, 1) = 192 ways
And the number of ways to choose all four kings is to take all of them = 1 way.
So, adding all these up we have 6768 + 192 + 1 = 6961
+130555 So....getting "at least" two kings means getting two kings, three kings or all four
The number of ways to get two kings is to choose any two of them and, from the other 48 cards, choose any two of them - since we're drawing four altogether. So we have
nCr(4, 2)*nCr(48, 2) = 6768 ways to do this
The number of ways to get three kings is to choose any three of them and, from the other 48 cards, choose any one of them. So we have
nCr(4,3)*nCr(48, 1) = 192 ways
And the number of ways to choose all four kings is to take all of them = 1 way.
So, adding all these up we have 6768 + 192 + 1 = 6961
