SOLUTION: to win a lotto in one state, one must correctly select 6 numbers from a collection of 46 numbers. the order does not matter. How many different selections are possible

Question 504398: to win a lotto in one state, one must correctly select 6 numbers from a collection of 46 numbers. the order does not matter. How many different selections are possible
Answer by Maths68(1474) (Show Source): You can put this solution on YOUR website!
If order does not matter then we can use following formula to find different COMBINATIONS of 6 numbers out of 46 numbers
Use following Combination formula
nCr = n! / r!(n-r)!
n=46
r=6
=46!/6!(46-6)!
=46!/[6!(40)!]
=(46*45*44*43*42*41*40!)/(6*5*4*3*2*1)(40!)
Cancel out 40!
=46*45*44*43*42*41/(6*5*4*3*2*1)
=6744109680/720
=9366819
Possible different selection 9366819
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