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

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

**Physics Forums | Science Articles, Homework Help, Discussion**