SOLUTION: How many different sets of 5 cards each can be formed from a standard deck of 52 cards?

Algebra ->  Permutations -> SOLUTION: How many different sets of 5 cards each can be formed from a standard deck of 52 cards?      Log On


   

Question 1066086: How many different sets of 5 cards each can be formed from a standard deck of 52 cards?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
How many different sets of 5 cards each can be formed from a standard deck of 52 cards?
---------
The 1st choice is 1 of 52.
Then 1 of 51, etc.
--> 52*51*50*49*48 = 311857200
--
But, choosing cards A,B,C,D & E is the same as B,A,D,E & C.
--> 120 (5*4*3*2*1) ways to get the same 5 cards.
---
311857200/120 = 2598960 sets