Question

How many different 6 card hands of three face cards and three ace's can I choose from twelve face cards and four ace's?

Answer 1

69 different hand cards

Answer 2

• 880

Explanation:

Combination of 3 face cards out of 12:

• 12C3 = 12!/(12-3)!3! = 12*11*10/6 = 220

Combination of 3 ace's out of 4:

• 4C3 = 4!/3! = 4

Combination of 6 cards:

• 220*4 = 880