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# If we remove all of the queens from a 52-card deck, how many unique four card combinations can we have?

##194,580## unique hands

If thee 4 queens are removed, we will have 48 cards to choose from.

There are ##48xx47xx46xx45## different combinations of cards which are possible, but in this case the order is not important, we are only interested in the actual cards in a hand of 4.

4 cards can be arranged in ##4!## ways.

THe number of combinations is therefore ##(48xx47xx46xx45)/(4!)##

This can also be written as ##(48!) /(4! xx 44!)##

##194,580## unique hands.