Math and Arithmetic
Statistics
Algebra

How many combinations of 6 numbers are there in 52 numbers What are these combinations?

Answer

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September 29, 2007 2:34AM

This questions can be rewritten as 52 choose 6 or 52C6. This is the same as (52!)/(6!(52-6)!)

(52!)(6!46!)

(52*51*50*49*48*47)/(6*5*4*3*2*1)

14658134400/720

20358520

There are 20,358,520 combinations of 6 numbers in 52 numbers. This treats 1,2,3,4,5,6 and 6,5,4,3,2,1 as the same combination since they are the same set of numbers.