Question

How many 6 card hands containing no queens and no spades can be chosen from a bridge deck of 52 cards?

Answer 1

There are 4 queens (including the queen of spades) and 12 spade cards (excluding the queen of spades). Therefore the number of cards to choose from is 52 - 16 = 36. The possible number of combinations is
36C6=36!6!30!=36×35×34×33×32×316×5×4×3×2×1

Answer 2

I thought it would be: 52-4( the 4 queens) -12(the spade cards) = 36. 36 choose 6 = 1402410240 which seems to high.

Answer 3

Oh so I was right xD

Answer 4

Yes!

Answer 5

Thanks <3

Answer 6

haha no problem.