From a deck of 52 cards, the 12 face cards are removed. From these face cards, 4 are chosen. How many combinations that have at least 2 queens are possible?(adsbygoogle = window.adsbygoogle || []).push({});

The answer is 201... I can't get here. This is what I did:

case1) 4 queens can be chosen C(4,2) ways * 10 cards can be chosen C(10,2) ways

case2) 4 queens can be chosen C(4,3) ways * 9 cards can be chosen C(9,1) ways

case3) 4 queens can be chosen C(4,4) ways * 8 cards can be chosen C(8,0) ways

case 1 = 270

case 2 = 36

case 3 = 1

270+36+1 does not equal 201

what am I doing wrong? TiA

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# How many combinations that have at least 2 queens are possible?

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