How many5-card hands can be dealt from a standard 52-card deck?different

I've highlighted the word different because I believe it's the key to the question, am I right in thinking the answer is

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- August 29th 2012, 10:10 AMuperkurkBinominal cooefficient wording of a question
How many

5-card hands can be dealt from a standard 52-card deck?**different**

I've highlighted the word different because I believe it's the key to the question, am I right in thinking the answer is

- August 29th 2012, 10:24 AMPlatoRe: Binominal cooefficient wording of a question
- August 29th 2012, 10:31 AMuperkurkRe: Binominal cooefficient wording of a question
Well I don't know that is just how the question is written but

23456

23465

23654

26543

65432

would all be classes as a different hand? I am not sure. - August 29th 2012, 10:49 AMPlatoRe: Binominal cooefficient wording of a question
- August 29th 2012, 10:54 AMHallsofIvyRe: Binominal cooefficient wording of a question
No, they wouldn't. Your answer, 52*51*50*49*48, which is the same as or which includes the same cards in different orders. To not count the same cards in different orders as different hands, you need to divide by 5!, the number of orders of the same 5 cards. That will give you which is exactly as Plato said.

- August 29th 2012, 11:06 AMuperkurkRe: Binominal cooefficient wording of a question
ok thanks for explaining :)