Hello all. It is my first time in this forum.
English is not my native language so please bear with me.
I have a standard deck of cards and I take 6 of them. The order doesn't matter so I can get them with:
52! / 6! * (52-6)! = 20358520 combinations.
Now, assuming that all aces have the same value, all twos the same ... all kings the same, how many combinations are there?
For example the combination:
1 of spades, 2 of spades, 3 of spades, 4 of spades, 5 of spades, 6 of spades, is the same as
1 of clubs, 2 of spades, 3 of spades, 4 of spades, 5 of spades, 6 of spades, and
1 of clubs, 2 of spades, 3 of spades, 4 of spades, 5 of spades, 6 of diamonds
and so on.
Thank you,
John
English is not my native language so please bear with me.
I have a standard deck of cards and I take 6 of them. The order doesn't matter so I can get them with:
52! / 6! * (52-6)! = 20358520 combinations.
Now, assuming that all aces have the same value, all twos the same ... all kings the same, how many combinations are there?
For example the combination:
1 of spades, 2 of spades, 3 of spades, 4 of spades, 5 of spades, 6 of spades, is the same as
1 of clubs, 2 of spades, 3 of spades, 4 of spades, 5 of spades, 6 of spades, and
1 of clubs, 2 of spades, 3 of spades, 4 of spades, 5 of spades, 6 of diamonds
and so on.
Thank you,
John