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```
number of groups taking 13 cards out of 52 cards (order of groups is important) =52!divided by (13!)^4 but number of groups taking 13 cards out of 52 cards (order of groups is not important) = 52!divided by{ 4!(13!)^4 } how? see one more example number of groups taking 11,12,13,16 cards out of 52 cards (order of groups is important) =52!divided by (11!*12!*13!*16!*) but number of groups taking 11,12,13,16 cards out of 52 cards (order of groups is not important) = ?????? please explain answer with reasons.

```
8 years ago

33 Points
```							well its quite simple
1) Case
52 cards equally divided among 4 groups (order is important) ( it should be players instead of groups)
and it goes like this
52C13 x 39C13 x 26C13 x 13C13 x 4!/4!
solving it we get
52!/13!4
now multiplication by 4! because order is important
division by 4! because as the players have equal no of cards
2) Case
52 cards equally divided among 4 groups (order is important)
52C13 x 39C13 x 26C13 x 13C13 /4!
52!/13!4 x 1/4!
Divide by 4! as the groups have equal no of cards
Note - ORDER IS NOT RELEVANT FOR GROUPS SO WE DIDNT MULTIPLY BY 4!
Hope i helped
any queries message me..!
```
8 years ago
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